task_id stringlengths 21 23 | challenge_id stringlengths 16 16 | proof_assistant stringclasses 1
value | session stringclasses 1
value | repo stringclasses 57
values | revision stringclasses 57
values | file_path stringlengths 13 92 | theory stringlengths 1 48 | variant int64 0 132 | challenge_type stringclasses 1
value | difficulty null | count null | by_centrality bool 1
class | ablation_prob float64 0.5 0.5 | min_depth int64 1 1 | max_depth int64 1 1 | leaves_only bool 1
class | min_size int64 0 0 | max_size stringclasses 1
value | min_centrality int64 0 0 | max_centrality stringclasses 1
value | seed int64 42 42 | n_proofs int64 1 173 | n_ablated int64 1 60 | holes_filled listlengths 1 60 | deleted_lemmas listlengths 1 1 | corollaries listlengths 1 1 | closure_size int64 1 172 | challenge_file_content stringlengths 133 350k | solution_file_content stringlengths 394 351k | solution_diff stringlengths 243 134k | manifest dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ablate_bb5f1c62fa02_9 | 559d466b96c3c9bd | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 9 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall01P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 9,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation_... | 9 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -11,6 +11,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_10 | 1987bd793bcdf266 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 10 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry128_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry128 a b = 0 := by\n unfold mulModProductLayoutCall00Carry128\n rw [mulModProductLayoutCall00Carry120_zero]\n exact... | [
{
"name": "mulModProductLayoutCall02P136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 5,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation_... | 5 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00P136 a b = 0 := sorry
private theorem mulModProductLayoutCall01Carry128_z... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -5,8 +5,17 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry128 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry128
+ rw [mulModProductLayoutCall00Carry120_zero]
+ exact mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_11 | 3840af577981761c | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 11 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry128_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry128 a b = 0 := by\n unfold mulModProductLayoutCall00Carry128\n rw [mulModProductLayoutCall00Carry120_zero]\n exact... | [
{
"name": "mulModProductLayoutCall02Carry136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 5,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automat... | 5 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00P136 a b = 0 := sorry
private theorem mulModProductLayoutCall01Carry128_z... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -5,8 +5,17 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry128 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry128
+ rw [mulModProductLayoutCall00Carry120_zero]
+ exact mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_12 | ea4cabbf9fa85c8c | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 12 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall02P144_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 10,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 10 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -11,6 +11,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_13 | 04613627b543238e | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 13 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall02Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 10,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 10 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -11,6 +11,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_14 | 6bc10bfa6c4ca392 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 14 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutCall02P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 15,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 15 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -17,11 +17,23 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCo... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_15 | 89c076fd4a2c90ce | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 15 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall03P136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 7,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation_... | 7 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -11,6 +11,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_16 | 8acc7fa6d4af8442 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 16 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall03Carry136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 7,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automat... | 7 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -11,6 +11,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_17 | f4530efdb2f1c073 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 17 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutCall03P144_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 14,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 14 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -17,8 +17,17 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCol... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_18 | 69cb7996580c6851 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 18 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutCall03Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 14,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 14 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -17,8 +17,17 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCol... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_19 | 75a1b454a1139ddf | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 19 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall03P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 21,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 21 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall00Carry128 a b = 0 := by
unfold mulModProductLayoutCall00Carry128
rw... | @@ -23,6 +23,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_20 | 8dcc4c4e8ed68350 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 20 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall04Carry128_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 8,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall04Carry128\n rw [mulModProductLayoutCall03P128_eq_highCarr... | [
{
"name": "mulModCarryStepCarry_twoBits_zero_forColumn7",
"text": "private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :\n mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =\n 0 := by\n cases p <;> cases q <;> decide\n\n",
"fan_in": 1,
"... | [
{
"name": "mulModProductLayoutCall04Carry128_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 11,
"n_chars": 497,
"n_subproofs": 0,
"n_tactics": 8,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 4,
"n_structural": 1,
"automa... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall04Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall04Carry128 a b = 0 := sorry
/-- The finalized product-layout column-sev... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -5,8 +5,20 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
+ mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
+ 0 := by
+ cases p <;> cases q <;> decide
+
private theorem mulModPro... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_21 | 42b4199efb8f0ab2 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 21 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall04P136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 10,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 10 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -16,6 +16,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_22 | ef7058ba132dc8d8 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 22 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall04Carry136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 10,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 10 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -16,6 +16,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_23 | dd97f0d6b836dca6 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 23 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall04P144_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 19,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 19 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -28,6 +28,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_24 | f382810b3c066013 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 24 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall04Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 19,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 19 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -28,6 +28,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_25 | d8a7dc06936c0fcf | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 25 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall04P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 28,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 28 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -28,6 +28,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_26 | 4d33ef8ac1187f99 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 26 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall05Carry128_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 8,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall05Carry128\n rw [mulModProductLayoutCall04P128_eq_highCarr... | [
{
"name": "mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7",
"text": "private theorem mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7 (p q r : Bool) :\n mulModCarryStepCarry ((if p then (1 : Word) else 0) + (if q then (1 : Word) else 0))\n (if r then (1 : Word) else 0) = 0 := by\n cases p <... | [
{
"name": "mulModProductLayoutCall05Carry128_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 11,
"n_chars": 506,
"n_subproofs": 0,
"n_tactics": 8,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 4,
"n_structural": 1,
"automa... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall05Carry128_zero_forColumn7 (a b : EvmWord) :
mulModProductLayoutCall05Carry128 a b = 0 := sorry
/-- The finalized product-layout column-sev... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7 (p q r : Bool) :
mulModCarryStepCarry ((if p then (1 : Word) else 0) + (if q then (1 : Word) else 0))
(if... | @@ -5,8 +5,20 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7 (p q r : Bool) :
+ mulModCarryStepCarry ((if p then (1 : Word) else 0) + (if q then (1 : Word) else 0))
+ (if r then (1 : Word) else 0) = 0 := by
+ cases p <;> case... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_27 | 968d9a49cf676190 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 27 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall05P136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 13,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 13 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -21,6 +21,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_28 | ed650f713ff5e2f6 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 28 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall05Carry136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 13,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 13 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -21,6 +21,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_29 | 0c01642ca93b1a14 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 29 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall05P144_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 24,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 24 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -33,6 +33,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_30 | 4384004251d182b7 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 30 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall05Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 24,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 24 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -33,6 +33,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_31 | 7bbd87396ec3e52e | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 31 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall01P152_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P152 mulModCarryStepValue\n rw [mulModProductLayoutCall00P15... | [
{
"name": "mulModProductLayoutCall00P152_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P152_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P152 a b = 0 := by\n unfold mulModProductLayoutCall00P152 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry144_zero_forC... | [
{
"name": "mulModProductLayoutCall05P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 35,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 35 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | @@ -45,6 +45,12 @@
rw [mulModProductLayoutCall00Carry136_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P152_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P152 a b = 0 := by
+ unfold mulModProductLayoutCall00P152 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_32 | 3d1423db39f7b7d1 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 32 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"fan_in": 2,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 6,
"n_chars": 262,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7 (a b : EvmWord) :
(mulModProductLayoutCall06Carry128 a b).toNat ≤ 1 := sorry
/-- The finalized product-l... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,8 +5,23 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_33 | 254466d1086eaed8 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 33 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall07Carry128_toNat_le_one_forColumn7",
"fan_in": 2,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 6,
"n_chars": 262,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall07Carry128_toNat_le_one_forColumn7 (a b : EvmWord) :
(mulModProductLayoutCall07Carry128 a b).toNat ≤ 1 := sorry
/-- The finalized product-l... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,8 +5,23 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_34 | 7709adbdb4eee2fb | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 34 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall08Carry128_toNat_le_one_forColumn7",
"fan_in": 2,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 6,
"n_chars": 262,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall08Carry128_toNat_le_one_forColumn7 (a b : EvmWord) :
(mulModProductLayoutCall08Carry128 a b).toNat ≤ 1 := sorry
/-- The finalized product-l... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,8 +5,23 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_35 | 4d4c462d4817551f | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 35 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall09Carry128_toNat_le_one_forColumn7",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 6,
"n_chars": 262,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall09Carry128_toNat_le_one_forColumn7 (a b : EvmWord) :
(mulModProductLayoutCall09Carry128 a b).toNat ≤ 1 := sorry
/-- The finalized product-l... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,8 +5,23 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_36 | 3284c2b7a5314634 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 36 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall06P136_toNat_le_one_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 16,
"n_lines": 7,
"n_chars": 336,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"au... | 16 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
0 := by
case... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,6 +5,19 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_37 | 973b0757f112f427 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 37 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 5,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry136\n exact mulModCarryStepCarry_zero_of_small_forC... | [
{
"name": "mulModCarryStepCarry_zero_of_small_forColumn7",
"text": "private theorem mulModCarryStepCarry_zero_of_small_forColumn7\n (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :\n mulModCarryStepCarry limb carry = 0 := by\n apply BitVec.eq_of_toNat_eq\n change (mulModCa... | [
{
"name": "mulModProductLayoutCall06Carry136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 3,
"n_deps_transitive": 17,
"n_lines": 8,
"n_chars": 374,
"n_subproofs": 0,
"n_tactics": 6,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 17 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -18,6 +18,15 @@
2 ^ 64 < 2 ^ 64 := Nat.mod_lt _ (by norm_num)
omega
+private theorem mulModCarryStepCarry_zero_of_small_forColumn7
+ (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
+ mulModCarryStepCarry limb carry = 0 := by
+ apply BitVec.eq_of_toNat_eq
+ change (mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_38 | 0bd7302d86f936c7 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 38 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 5,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry136\n exact mulModCarryStepCarry_zero_of_small_forC... | [
{
"name": "mulModCarryStepCarry_zero_of_small_forColumn7",
"text": "private theorem mulModCarryStepCarry_zero_of_small_forColumn7\n (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :\n mulModCarryStepCarry limb carry = 0 := by\n apply BitVec.eq_of_toNat_eq\n change (mulModCa... | [
{
"name": "mulModProductLayoutCall06P144_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 30,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 30 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -18,6 +18,15 @@
2 ^ 64 < 2 ^ 64 := Nat.mod_lt _ (by norm_num)
omega
+private theorem mulModCarryStepCarry_zero_of_small_forColumn7
+ (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
+ mulModCarryStepCarry limb carry = 0 := by
+ apply BitVec.eq_of_toNat_eq
+ change (mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_39 | 2977c5b7686f2e87 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 39 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 5,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry136\n exact mulModCarryStepCarry_zero_of_small_forC... | [
{
"name": "mulModCarryStepCarry_zero_of_small_forColumn7",
"text": "private theorem mulModCarryStepCarry_zero_of_small_forColumn7\n (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :\n mulModCarryStepCarry limb carry = 0 := by\n apply BitVec.eq_of_toNat_eq\n change (mulModCa... | [
{
"name": "mulModProductLayoutCall06Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 30,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 30 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -18,6 +18,15 @@
2 ^ 64 < 2 ^ 64 := Nat.mod_lt _ (by norm_num)
omega
+private theorem mulModCarryStepCarry_zero_of_small_forColumn7
+ (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
+ mulModCarryStepCarry limb carry = 0 := by
+ apply BitVec.eq_of_toNat_eq
+ change (mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_40 | a4fe378ddb420051 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 40 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall05Carry128_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 8,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall05Carry128\n rw [mulModProductLayoutCall04P128_eq_highCarr... | [
{
"name": "mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7",
"text": "private theorem mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7 (p q r : Bool) :\n mulModCarryStepCarry ((if p then (1 : Word) else 0) + (if q then (1 : Word) else 0))\n (if r then (1 : Word) else 0) = 0 := by\n cases p <... | [
{
"name": "mulModProductLayoutCall06P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 43,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 43 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -32,6 +32,11 @@
0 := by
cases p <;> cases q <;> decide
+private theorem mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7 (p q r : Bool) :
+ mulModCarryStepCarry ((if p then (1 : Word) else 0) + (if q then (1 : Word) else 0))
+ (if r then (1 : Word) else 0) = 0 := by
+ cases p <;> cases q <;> ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_41 | 1365efc5f2c4938b | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 41 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall04Carry128_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 8,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall04Carry128\n rw [mulModProductLayoutCall03P128_eq_highCarr... | [
{
"name": "mulModCarryStepCarry_twoBits_zero_forColumn7",
"text": "private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :\n mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =\n 0 := by\n cases p <;> cases q <;> decide\n\n",
"fan_in": 1,
"... | [
{
"name": "mulModProductLayoutCall07P136_toNat_le_two_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 18,
"n_lines": 9,
"n_chars": 385,
"n_subproofs": 2,
"n_tactics": 6,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"au... | 18 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -18,6 +18,11 @@
2 ^ 64 < 2 ^ 64 := Nat.mod_lt _ (by norm_num)
omega
+private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
+ mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
+ 0 := by
+ cases p <;> cases q <;> decide
+
private theorem mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_42 | 2228c084b7f108e7 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 42 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 5,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry136\n exact mulModCarryStepCarry_zero_of_small_forC... | [
{
"name": "mulModCarryStepCarry_zero_of_small_forColumn7",
"text": "private theorem mulModCarryStepCarry_zero_of_small_forColumn7\n (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :\n mulModCarryStepCarry limb carry = 0 := by\n apply BitVec.eq_of_toNat_eq\n change (mulModCa... | [
{
"name": "mulModProductLayoutCall07Carry136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 3,
"n_deps_transitive": 19,
"n_lines": 8,
"n_chars": 406,
"n_subproofs": 0,
"n_tactics": 5,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 1,
"n_structural": 2,
"automa... | 19 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -18,6 +18,15 @@
2 ^ 64 < 2 ^ 64 := Nat.mod_lt _ (by norm_num)
omega
+private theorem mulModCarryStepCarry_zero_of_small_forColumn7
+ (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
+ mulModCarryStepCarry limb carry = 0 := by
+ apply BitVec.eq_of_toNat_eq
+ change (mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_43 | ad894b0f9fbc68db | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 43 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall04Carry128_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 8,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall04Carry128\n rw [mulModProductLayoutCall03P128_eq_highCarr... | [
{
"name": "mulModCarryStepCarry_twoBits_zero_forColumn7",
"text": "private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :\n mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =\n 0 := by\n cases p <;> cases q <;> decide\n\n",
"fan_in": 1,
"... | [
{
"name": "mulModProductLayoutCall07P144_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 34,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 34 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -27,6 +27,11 @@
rw [mulModProductLayoutCarryRight_toNat]
omega
+private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
+ mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
+ 0 := by
+ cases p <;> cases q <;> decide
+
private theorem mulModCarrySt... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_44 | a650ff8bb4e3bb5f | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 44 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall04Carry128_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 8,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall04Carry128\n rw [mulModProductLayoutCall03P128_eq_highCarr... | [
{
"name": "mulModCarryStepCarry_twoBits_zero_forColumn7",
"text": "private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :\n mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =\n 0 := by\n cases p <;> cases q <;> decide\n\n",
"fan_in": 1,
"... | [
{
"name": "mulModProductLayoutCall07Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 34,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 34 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -27,6 +27,11 @@
rw [mulModProductLayoutCarryRight_toNat]
omega
+private theorem mulModCarryStepCarry_twoBits_zero_forColumn7 (p q : Bool) :
+ mulModCarryStepCarry (if p then (1 : Word) else 0) (if q then (1 : Word) else 0) =
+ 0 := by
+ cases p <;> cases q <;> decide
+
private theorem mulModCarrySt... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_45 | 098ff68de21fd72e | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 45 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry128_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry128 a b = 0 := by\n unfold mulModProductLayoutCall00Carry128\n rw [mulModProductLayoutCall00Carry120_zero]\n exact... | [
{
"name": "mulModProductLayoutCall07P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 49,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 49 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -37,11 +37,23 @@
(if r then (1 : Word) else 0) = 0 := by
cases p <;> cases q <;> cases r <;> decide
+private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry128 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry128
+ rw [mulModProductLay... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_46 | fc59f2870360a175 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 46 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall05Carry128_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 8,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall05Carry128\n rw [mulModProductLayoutCall04P128_eq_highCarr... | [
{
"name": "mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7",
"text": "private theorem mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7 (p q r : Bool) :\n mulModCarryStepCarry ((if p then (1 : Word) else 0) + (if q then (1 : Word) else 0))\n (if r then (1 : Word) else 0) = 0 := by\n cases p <... | [
{
"name": "mulModProductLayoutCall08P136_toNat_le_three_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 20,
"n_lines": 9,
"n_chars": 387,
"n_subproofs": 2,
"n_tactics": 6,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"... | 20 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -23,6 +23,11 @@
0 := by
cases p <;> cases q <;> decide
+private theorem mulModCarryStepCarry_twoPlusOneBits_zero_forColumn7 (p q r : Bool) :
+ mulModCarryStepCarry ((if p then (1 : Word) else 0) + (if q then (1 : Word) else 0))
+ (if r then (1 : Word) else 0) = 0 := by
+ cases p <;> cases q <;> ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_47 | ca84ec05798f6920 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 47 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 5,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry136\n exact mulModCarryStepCarry_zero_of_small_forC... | [
{
"name": "mulModCarryStepCarry_zero_of_small_forColumn7",
"text": "private theorem mulModCarryStepCarry_zero_of_small_forColumn7\n (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :\n mulModCarryStepCarry limb carry = 0 := by\n apply BitVec.eq_of_toNat_eq\n change (mulModCa... | [
{
"name": "mulModProductLayoutCall08Carry136_zero_forColumn7",
"fan_in": 2,
"n_deps_direct": 3,
"n_deps_transitive": 21,
"n_lines": 8,
"n_chars": 406,
"n_subproofs": 0,
"n_tactics": 5,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 1,
"n_structural": 2,
"automa... | 21 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -18,6 +18,15 @@
2 ^ 64 < 2 ^ 64 := Nat.mod_lt _ (by norm_num)
omega
+private theorem mulModCarryStepCarry_zero_of_small_forColumn7
+ (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
+ mulModCarryStepCarry limb carry = 0 := by
+ apply BitVec.eq_of_toNat_eq
+ change (mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_48 | b8666b2b7d2dda49 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 48 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry128_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry128 a b = 0 := by\n unfold mulModProductLayoutCall00Carry128\n rw [mulModProductLayoutCall00Carry120_zero]\n exact... | [
{
"name": "mulModProductLayoutCall08P144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 38,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 38 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -37,11 +37,23 @@
(if r then (1 : Word) else 0) = 0 := by
cases p <;> cases q <;> cases r <;> decide
+private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry128 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry128
+ rw [mulModProductLay... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_49 | 3b51db8d55323f60 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 49 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry128_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry128 a b = 0 := by\n unfold mulModProductLayoutCall00Carry128\n rw [mulModProductLayoutCall00Carry120_zero]\n exact... | [
{
"name": "mulModProductLayoutCall08Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 38,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 38 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -37,11 +37,23 @@
(if r then (1 : Word) else 0) = 0 := by
cases p <;> cases q <;> cases r <;> decide
+private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry128 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry128
+ rw [mulModProductLay... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_50 | 8a578b84186651dc | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 50 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall08P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 55,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 55 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -43,6 +43,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_51 | 5a952e9b2bff2858 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 51 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 5,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry136\n exact mulModCarryStepCarry_zero_of_small_forC... | [
{
"name": "mulModCarryStepCarry_zero_of_small_forColumn7",
"text": "private theorem mulModCarryStepCarry_zero_of_small_forColumn7\n (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :\n mulModCarryStepCarry limb carry = 0 := by\n apply BitVec.eq_of_toNat_eq\n change (mulModCa... | [
{
"name": "mulModProductLayoutCall09Carry136_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 3,
"n_deps_transitive": 23,
"n_lines": 8,
"n_chars": 372,
"n_subproofs": 0,
"n_tactics": 5,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
"automa... | 23 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -18,6 +18,15 @@
2 ^ 64 < 2 ^ 64 := Nat.mod_lt _ (by norm_num)
omega
+private theorem mulModCarryStepCarry_zero_of_small_forColumn7
+ (limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
+ mulModCarryStepCarry limb carry = 0 := by
+ apply BitVec.eq_of_toNat_eq
+ change (mulM... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_52 | 8bb44f5747c4940b | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 52 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry128_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry128 a b = 0 := by\n unfold mulModProductLayoutCall00Carry128\n rw [mulModProductLayoutCall00Carry120_zero]\n exact... | [
{
"name": "mulModProductLayoutCall09Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 42,
"n_lines": 7,
"n_chars": 323,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 2,
"n_structural": 1,
"automa... | 42 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -37,11 +37,23 @@
(if r then (1 : Word) else 0) = 0 := by
cases p <;> cases q <;> cases r <;> decide
+private theorem mulModProductLayoutCall00Carry128_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry128 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry128
+ rw [mulModProductLay... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_53 | 4d84381e1340bbf6 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 53 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutCall09P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 61,
"n_lines": 7,
"n_chars": 299,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 61 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -49,11 +49,23 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCo... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_54 | 22ed755897c53188 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 54 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall10Carry136_toNat_le_one_forColumn7",
"fan_in": 3,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 6,
"n_chars": 262,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall10Carry136_toNat_le_one_forColumn7 (a b : EvmWord) :
(mulModProductLayoutCall10Carry136 a b).toNat ≤ 1 := sorry
/-- The finalized product-l... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,8 +5,23 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_55 | f940eccd3ba3cc71 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 55 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall11Carry136_toNat_le_one_forColumn7",
"fan_in": 2,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 6,
"n_chars": 262,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall11Carry136_toNat_le_one_forColumn7 (a b : EvmWord) :
(mulModProductLayoutCall11Carry136 a b).toNat ≤ 1 := sorry
/-- The finalized product-l... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,8 +5,23 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_56 | e7c840747d31744b | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 56 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall12Carry136_toNat_le_one_forColumn7",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 6,
"n_chars": 262,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCall12Carry136_toNat_le_one_forColumn7 (a b : EvmWord) :
(mulModProductLayoutCall12Carry136 a b).toNat ≤ 1 := sorry
/-- The finalized product-l... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,8 +5,23 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_57 | 1bc12e626784b09f | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 57 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall10Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 3,
"n_lines": 8,
"n_chars": 369,
"n_subproofs": 0,
"n_tactics": 6,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 1,
"automat... | 3 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_zero_of_small_forColumn7
(limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
mulModCarryStepCarry limb carry = 0 :... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,6 +5,19 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_58 | 5bc9f50688cf01a8 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 58 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutCall10P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 64,
"n_lines": 7,
"n_chars": 278,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 64 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -49,11 +49,23 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCo... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_59 | 1372344c7992940d | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 59 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall11Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 3,
"n_deps_transitive": 4,
"n_lines": 14,
"n_chars": 558,
"n_subproofs": 1,
"n_tactics": 11,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 5,
"n_structural": 1,
"autom... | 4 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_zero_of_small_forColumn7
(limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
mulModCarryStepCarry limb carry = 0 :... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,6 +5,19 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_60 | 37abdeebae4ad6a3 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 60 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall11P152_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 67,
"n_lines": 7,
"n_chars": 278,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation... | 67 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -55,6 +55,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_61 | efa3ae0a7fce4bee | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 61 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 7 | [
{
"theorem_name": "mulModProductLayoutCall06Carry128_toNat_le_one_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall06Carry128\n exact mulModAddPartialHiCarry_toNat_l... | [
{
"name": "mulModAddPartialHiCarry_toNat_le_one_forColumn7",
"text": "private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :\n (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by\n rw [mulModAddPartialHiCarry_eq_singleCarry]\n rw [mulModProductLayoutCarryRightEqTrue_toNat]... | [
{
"name": "mulModProductLayoutCall12Carry144_zero_forColumn7",
"fan_in": 1,
"n_deps_direct": 4,
"n_deps_transitive": 5,
"n_lines": 18,
"n_chars": 818,
"n_subproofs": 3,
"n_tactics": 15,
"cyclomatic": 1,
"n_automation": 2,
"n_rewrites": 6,
"n_structural": 1,
"autom... | 5 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepCarry_zero_of_small_forColumn7
(limb carry : Word) (h_limb : limb.toNat ≤ 3) (h_carry : carry.toNat ≤ 1) :
mulModCarryStepCarry limb carry = 0 :... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -5,6 +5,19 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
+ (mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
+ rw [mulModAddPartialHiCarry_eq_singleCarry]
+ rw [mulModProductLayoutCarryRightEqTrue_toNat]
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_62 | 5ae16642475b25ac | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 62 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall12P152_zero",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 70,
"n_lines": 8,
"n_chars": 353,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 2,
"n_structural": 0,
"automation_only": fal... | 70 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -55,6 +55,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_63 | 5d91640772e41625 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 63 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall12P152_toNat_zero",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 71,
"n_lines": 9,
"n_chars": 231,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 1,
"n_structural": 0,
"automation_only... | 71 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModAddPartialHiCarry_toNat_le_one_forColumn7 (hi lo x y : Word) :
(mulModAddPartialHiCarry hi lo x y).toNat ≤ 1 := by
rw [mulModAddPartialHiCarry_eq_singleCar... | @@ -55,6 +55,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_64 | b88bd3d994b0a322 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 64 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutLowPartBound5ForLimb7",
"depth": 1,
"n_commands": 0,
"n_lines": 13,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have h_bound0 : d0 % w ≤ w - 1 := by\n omega\n have h_bound1 : d1c1 % w * w ≤ (w - 1) * w :=\... | [
{
"name": "mulModProductLayoutGeoSeriesIdentity5ForLimb7",
"text": "private theorem mulModProductLayoutGeoSeriesIdentity5ForLimb7 (w : Nat) (h_w : 0 < w) :\n (w - 1) + (w - 1) * w + (w - 1) * w ^ 2 + (w - 1) * w ^ 3 +\n (w - 1) * w ^ 4 + 1 = w ^ 5 := by\n obtain ⟨n, rfl⟩ : ∃ n, w = n + 1 := ⟨w - ... | [
{
"name": "mulModProductLayoutLowPartBound5ForLimb7",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 20,
"n_chars": 904,
"n_subproofs": 6,
"n_tactics": 13,
"cyclomatic": 1,
"n_automation": 6,
"n_rewrites": 0,
"n_structural": 0,
"automation_onl... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutLowPartBound5ForLimb7
(d0 d1c1 d2c2 d3c3 d4c4 w : Nat) (h_w : 0 < w)
(h0 : d0 % w < w) (h1 : d1c1 % w < w) (h2 : d2c2 % w < w)
(h3 : d3c... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutGeoSeriesIdentity5ForLimb7 (w : Nat) (h_w : 0 < w) :
(w - 1) + (w - 1) * w + (w - 1) * w ^ 2 + (w - 1) * w ^ 3 +
(w - 1) * w ^ 4 + 1 = w... | @@ -5,12 +5,31 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModProductLayoutGeoSeriesIdentity5ForLimb7 (w : Nat) (h_w : 0 < w) :
+ (w - 1) + (w - 1) * w + (w - 1) * w ^ 2 + (w - 1) * w ^ 3 +
+ (w - 1) * w ^ 4 + 1 = w ^ 5 := by
+ obtain ⟨n, rfl⟩ : ∃ n, w = n + 1 := ⟨w - ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_65 | 465ec0054b313848 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 65 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutSchoolbookLimb7",
"depth": 1,
"n_commands": 0,
"n_lines": 74,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n dsimp only\n set w := (2 : Nat) ^ 64\n have h128 : (2 : Nat) ^ 128 = w ^ 2 := by\n norm_num [w]\n ... | [
{
"name": "mulModProductLayoutCarryTelescoping5ForLimb7",
"text": "private theorem mulModProductLayoutCarryTelescoping5ForLimb7\n (d0 d1 d2 d3 d4 c1 c2 c3 c4 c5 w : Nat)\n (h0 : w * c1 + d0 % w = d0)\n (h1 : w * c2 + (d1 + c1) % w = d1 + c1)\n (h2 : w * c3 + (d2 + c2) % w = d2 + c2)\n (h3 : w... | [
{
"name": "mulModProductLayoutSchoolbookLimb7",
"fan_in": 1,
"n_deps_direct": 3,
"n_deps_transitive": 4,
"n_lines": 96,
"n_chars": 3522,
"n_subproofs": 10,
"n_tactics": 74,
"cyclomatic": 1,
"n_automation": 10,
"n_rewrites": 13,
"n_structural": 1,
"automation_only"... | 4 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutGeoSeriesIdentity5ForLimb7 (w : Nat) (h_w : 0 < w) :
(w - 1) + (w - 1) * w + (w - 1) * w ^ 2 + (w - 1) * w ^ 3 +
(w - 1) * w ^ 4 + 1 = w... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModProductLayoutCarryTelescoping5ForLimb7
(d0 d1 d2 d3 d4 c1 c2 c3 c4 c5 w : Nat)
(h0 : w * c1 + d0 % w = d0)
(h1 : w * c2 + (d1 + c1) % w = d1 + c1)
... | @@ -5,6 +5,57 @@
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
+private theorem mulModProductLayoutCarryTelescoping5ForLimb7
+ (d0 d1 d2 d3 d4 c1 c2 c3 c4 c5 w : Nat)
+ (h0 : w * c1 + d0 % w = d0)
+ (h1 : w * c2 + (d1 + c1) % w = d1 + c1)
+ (h2 : w * c3 + (d2 + c2) % w = d2 + c2)
+ (h3 : w... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_66 | 391c7391330781ba | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 66 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutCall14P152_toNat_eq_c6_high",
"fan_in": 1,
"n_deps_direct": 6,
"n_deps_transitive": 77,
"n_lines": 60,
"n_chars": 3187,
"n_subproofs": 17,
"n_tactics": 35,
"cyclomatic": 1,
"n_automation": 9,
"n_rewrites": 4,
"n_structural": 4,
"autom... | 77 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | @@ -75,6 +75,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_67 | 8c467cfe5d46b670 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 67 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P136_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00P13... | [
{
"name": "mulModProductLayoutCall00P136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P136 a b = 0 := by\n unfold mulModProductLayoutCall00P136 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry128_zero_forC... | [
{
"name": "mulModProductLayoutColumn7Value_toNat_eq_schoolbook_limb7",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 78,
"n_lines": 35,
"n_chars": 1405,
"n_subproofs": 1,
"n_tactics": 9,
"cyclomatic": 1,
"n_automation": 3,
"n_rewrites": 1,
"n_structural": 0,
... | 78 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | @@ -75,6 +75,12 @@
rw [mulModProductLayoutCall00Carry120_zero]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P136 a b = 0 := by
+ unfold mulModProductLayoutCall00P136 mulModCarryStepValue
+ rw [mulModProductL... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_68 | ad9a021b22ca6974 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 68 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutColumn7Value_eq_productLimb_seven",
"fan_in": 2,
"n_deps_direct": 2,
"n_deps_transitive": 84,
"n_lines": 12,
"n_chars": 639,
"n_subproofs": 0,
"n_tactics": 8,
"cyclomatic": 1,
"n_automation": 2,
"n_rewrites": 3,
"n_structural": 1,
"au... | 84 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | @@ -81,11 +81,23 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCo... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_69 | 30c17147bee9609e | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 69 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutColumn7Value_eq_mulHigh_getLimbN_three",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 85,
"n_lines": 7,
"n_chars": 357,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 85 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | @@ -81,11 +81,23 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCo... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_70 | 728e1f0c0bfe1dda | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 70 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall00P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Car... | [
{
"name": "mulModProductLayoutCall00Carry136_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00Carry136 a b = 0 := by\n unfold mulModProductLayoutCall00Carry136\n rw [mulModProductLayoutCall00Carry128_zero_forColumn... | [
{
"name": "mulModProductLayoutCall15P152Value_eq_productLimb_seven",
"fan_in": 1,
"n_deps_direct": 2,
"n_deps_transitive": 86,
"n_lines": 9,
"n_chars": 453,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
"... | 86 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | @@ -81,11 +81,23 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
rfl
+private theorem mulModProductLayoutCall00Carry136_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00Carry136 a b = 0 := by
+ unfold mulModProductLayoutCall00Carry136
+ rw [mulModProductLayoutCall00Carry128_zero_forCo... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_71 | d95c3d91caffe0b6 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 71 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall15P152Value_eq_mulHigh_getLimbN_three_iff_column7Value",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [← productLimb_seven_eq_mulHigh_getLimbN_three]\n exact m... | [
{
"name": "mulModProductLayoutCall15P152Value_eq_productLimb_seven_iff_column7Value",
"text": "/-- The concrete call15 P152 cell has the same product-limb-7 proof obligation\n as the folded column-seven target. -/\ntheorem mulModProductLayoutCall15P152Value_eq_productLimb_seven_iff_column7Value\n (a b... | [
{
"name": "mulModProductLayoutCall15P152Value_eq_mulHigh_getLimbN_three_iff_column7Value",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 12,
"n_chars": 620,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | @@ -10,6 +10,16 @@
mulModAddPartialHiValue (mulModProductLayoutCall14P152 a b)
(mulModProductLayoutCall14P144 a b) (a.getLimbN 3) (b.getLimbN 3)
+/-- The concrete call15 P152 cell has the same product-limb-7 proof obligation
+ as the folded column-seven target. -/
+theorem mulModProductLayoutCall15P152Valu... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_72 | 2aa54a81513c1191 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 72 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutColumn7Value_eq_mulHigh_getLimbN_three_of_productLimb_seven",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n exact (mulModProductLayoutColumn7Value_eq_mulHigh_getLimbN_t... | [
{
"name": "mulModProductLayoutColumn7Value_eq_mulHigh_getLimbN_three_iff_productLimb_seven",
"text": "/-- The folded column-seven product-limb target is the same as the direct\n mulHigh limb3 target. -/\ntheorem mulModProductLayoutColumn7Value_eq_mulHigh_getLimbN_three_iff_productLimb_seven\n (a b : E... | [
{
"name": "mulModProductLayoutColumn7Value_eq_mulHigh_getLimbN_three_of_productLimb_seven",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 10,
"n_chars": 374,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | @@ -10,11 +10,22 @@
mulModAddPartialHiValue (mulModProductLayoutCall14P152 a b)
(mulModProductLayoutCall14P144 a b) (a.getLimbN 3) (b.getLimbN 3)
+/-- The folded column-seven product-limb target is the same as the direct
+ mulHigh limb3 target. -/
+theorem mulModProductLayoutColumn7Value_eq_mulHigh_getLimb... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_73 | d16ee3a477ba093b | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 73 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall01P144_zero_forColumn7",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n unfold mulModProductLayoutCall01P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00P14... | [
{
"name": "mulModProductLayoutCall00P144_zero_forColumn7",
"text": "private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :\n mulModProductLayoutCall00P144 a b = 0 := by\n unfold mulModProductLayoutCall00P144 mulModCarryStepValue\n rw [mulModProductLayoutCall00Carry136_zero_forC... | [
{
"name": "mulModProductLayoutCall15P152Value_eq_mulHigh_getLimbN_three",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 87,
"n_lines": 9,
"n_chars": 466,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
... | 87 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
private theorem mulModCarryStepValue_toNat_forColumn7 (limb carry : Word) :
(mulModCarryStepValue limb carry).toNat = (limb.toNat + carry.toNat) % 2 ^ 64 := by
unfold mulModCarr... | @@ -87,6 +87,12 @@
rw [mulModProductLayoutCall00Carry128_zero_forColumn7]
exact mulModCarryStepCarry_zero_zero
+private theorem mulModProductLayoutCall00P144_zero_forColumn7 (a b : EvmWord) :
+ mulModProductLayoutCall00P144 a b = 0 := by
+ unfold mulModProductLayoutCall00P144 mulModCarryStepValue
+ rw [mul... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_74 | 652204b024fb3e59 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 74 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 2 | [
{
"theorem_name": "mulModProductLayoutCall15P152Value_eq_productLimb_seven",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [mulModProductLayoutCall15P152Value_eq_column7Value]\n exact mulModProductLayou... | [
{
"name": "mulModProductLayoutCall15P152Value_eq_column7Value",
"text": "/-- The concrete call15 P152 cell is the folded column-seven target. -/\ntheorem mulModProductLayoutCall15P152Value_eq_column7Value (a b : EvmWord) :\n mulModAddPartialHiValue (mulModProductLayoutCall14P152 a b)\n (mulModProduc... | [
{
"name": "mulModProductLayoutCall15P152Value_eq_mulHigh_getLimbN_three_of_column7Value_mulHigh",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 10,
"n_chars": 457,
"n_subproofs": 0,
"n_tactics": 2,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,... | 1 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | @@ -10,13 +10,21 @@
mulModAddPartialHiValue (mulModProductLayoutCall14P152 a b)
(mulModProductLayoutCall14P144 a b) (a.getLimbN 3) (b.getLimbN 3)
+/-- The concrete call15 P152 cell is the folded column-seven target. -/
+theorem mulModProductLayoutCall15P152Value_eq_column7Value (a b : EvmWord) :
+ mulModAd... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_bb5f1c62fa02_75 | 3e89a36c5a698f64 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/MulMod/ProductLayoutColumn7Target.lean | ProductLayoutColumn7Target | 75 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 90 | 1 | [
{
"theorem_name": "mulModProductLayoutCall15P152Value_eq_mulHigh_getLimbN_three_iff_column7Value",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [← productLimb_seven_eq_mulHigh_getLimbN_three]\n exact m... | [
{
"name": "mulModProductLayoutCall15P152Value_eq_productLimb_seven_iff_column7Value",
"text": "/-- The concrete call15 P152 cell has the same product-limb-7 proof obligation\n as the folded column-seven target. -/\ntheorem mulModProductLayoutCall15P152Value_eq_productLimb_seven_iff_column7Value\n (a b... | [
{
"name": "mulModProductLayoutColumn7Value_eq_productLimb_seven_of_call15P152Value_mulHigh",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 2,
"n_lines": 10,
"n_chars": 470,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
... | 2 | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | import EvmAsm.Evm64.MulMod.ProductLayoutColumn6Target
namespace EvmAsm.Evm64
open EvmAsm.Rv64
open EvmAsm.Evm64.MulMod.ProductAlgebra
/-- The finalized product-layout column-seven cell at offset 152. -/
def mulModProductLayoutColumn7Value (a b : EvmWord) : Word :=
mulModAddPartialHiValue (mulModProductLayoutCall14... | @@ -10,6 +10,16 @@
mulModAddPartialHiValue (mulModProductLayoutCall14P152 a b)
(mulModProductLayoutCall14P144 a b) (a.getLimbN 3) (b.getLimbN 3)
+/-- The concrete call15 P152 cell has the same product-limb-7 proof obligation
+ as the folded column-seven target. -/
+theorem mulModProductLayoutCall15P152Valu... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_0 | d70243742a06eda6 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 0 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 6 | [
{
"theorem_name": "rlp_phase1_step_spec_plain_within",
"depth": 1,
"n_commands": 0,
"n_lines": 6,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": "\n cpsBranchWithin_weaken\n (fun _ hp => hp)\n sepConj_strip_pure_end3\n sepConj_strip_pure_end3\n ... | [
{
"name": "rlp_phase1_step_spec_within",
"text": "/-- `cpsBranchWithin` spec for one cascade step.\n\n Taken (`x5 <u kVal`): PC := target (BLTU took the branch)\n Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell through)\n\n Both postconditions preserve `⌜…⌝` so downstream compo... | [
{
"name": "rlp_phase1_step_spec_plain_within",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 16,
"n_chars": 719,
"n_subproofs": 0,
"n_tactics": 5,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"n_structural": 0,
"automation_only": fals... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -78,6 +78,69 @@
-- Spec: cascade step
-- ============================================================================
+/-- `cpsBranchWithin` spec for one cascade step.
+
+ Taken (`x5 <u kVal`): PC := target (BLTU took the branch)
+ Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell throug... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_1 | e6872eecbae21ef1 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 1 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 6 | [
{
"theorem_name": "rlp_phase1_step_spec_plain_within",
"depth": 1,
"n_commands": 0,
"n_lines": 6,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": "\n cpsBranchWithin_weaken\n (fun _ hp => hp)\n sepConj_strip_pure_end3\n sepConj_strip_pure_end3\n ... | [
{
"name": "rlp_phase1_step_spec_within",
"text": "/-- `cpsBranchWithin` spec for one cascade step.\n\n Taken (`x5 <u kVal`): PC := target (BLTU took the branch)\n Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell through)\n\n Both postconditions preserve `⌜…⌝` so downstream compo... | [
{
"name": "rlp_phase1_step_taken_spec_within",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 21,
"n_chars": 921,
"n_subproofs": 0,
"n_tactics": 8,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"n_structural": 1,
"automation_only": fals... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -78,6 +78,69 @@
-- Spec: cascade step
-- ============================================================================
+/-- `cpsBranchWithin` spec for one cascade step.
+
+ Taken (`x5 <u kVal`): PC := target (BLTU took the branch)
+ Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell throug... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_2 | afe5bd75967d120a | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 2 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 6 | [
{
"theorem_name": "rlp_phase1_step_spec_plain_within",
"depth": 1,
"n_commands": 0,
"n_lines": 6,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": "\n cpsBranchWithin_weaken\n (fun _ hp => hp)\n sepConj_strip_pure_end3\n sepConj_strip_pure_end3\n ... | [
{
"name": "rlp_phase1_step_spec_within",
"text": "/-- `cpsBranchWithin` spec for one cascade step.\n\n Taken (`x5 <u kVal`): PC := target (BLTU took the branch)\n Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell through)\n\n Both postconditions preserve `⌜…⌝` so downstream compo... | [
{
"name": "rlp_phase1_step_ntaken_spec_within",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 21,
"n_chars": 938,
"n_subproofs": 0,
"n_tactics": 8,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"n_structural": 1,
"automation_only": fal... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -78,6 +78,69 @@
-- Spec: cascade step
-- ============================================================================
+/-- `cpsBranchWithin` spec for one cascade step.
+
+ Taken (`x5 <u kVal`): PC := target (BLTU took the branch)
+ Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell throug... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_3 | 686736059cd729a5 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 3 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 5 | [
{
"theorem_name": "step_code_Disjoint_8_at_8",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have h := step_code_Disjoint_8 k1 k2 off1 off2 (base + 8)\n rwa [show (base + 8 : Word) + 8 = base + 16 from by ... | [
{
"name": "step_code_Disjoint_8",
"text": "/-- Two cascade-step `CodeReq`s whose bases are 8 bytes apart are disjoint.\n Helper for the classifier composition. -/\ntheorem step_code_Disjoint_8 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)\n (base : Word) :\n (rlp_phase1_step_code k1 off1 base).Disjoi... | [
{
"name": "step_code_Disjoint_8_at_8",
"fan_in": 3,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 9,
"n_chars": 435,
"n_subproofs": 1,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 0,
"automation_only": false,
"m... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -90,11 +90,27 @@
-- Spec: full 5-exit classifier
-- ============================================================================
+/-- Two cascade-step `CodeReq`s whose bases are 8 bytes apart are disjoint.
+ Helper for the classifier composition. -/
+theorem step_code_Disjoint_8 (k1 k2 : BitVec 12) (off1 off2... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_4 | 35f8aa229c8cecad | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 4 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 4 | [
{
"theorem_name": "step_code_Disjoint_16_at_8",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have h := step_code_Disjoint_16 k1 k2 off1 off2 (base + 8)\n rwa [show (base + 8 : Word) + 16 = base + 24 from ... | [
{
"name": "step_code_Disjoint_16",
"text": "/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/\ntheorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)\n (base : Word) :\n (rlp_phase1_step_code k1 off1 base).Disjoint\n (rlp_phase1_step_code k2 off2 (base + 16)) ... | [
{
"name": "step_code_Disjoint_16_at_8",
"fan_in": 3,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 9,
"n_chars": 438,
"n_subproofs": 1,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 0,
"automation_only": false,
"... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -90,11 +90,26 @@
-- Spec: full 5-exit classifier
-- ============================================================================
+/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/
+theorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)
+ (base : Word) :
+ (rlp_phase1_st... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_5 | 658fb0f82e1aa26c | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 5 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 5 | [
{
"theorem_name": "step_code_Disjoint_8_at_8",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have h := step_code_Disjoint_8 k1 k2 off1 off2 (base + 8)\n rwa [show (base + 8 : Word) + 8 = base + 16 from by ... | [
{
"name": "step_code_Disjoint_8",
"text": "/-- Two cascade-step `CodeReq`s whose bases are 8 bytes apart are disjoint.\n Helper for the classifier composition. -/\ntheorem step_code_Disjoint_8 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)\n (base : Word) :\n (rlp_phase1_step_code k1 off1 base).Disjoi... | [
{
"name": "step_code_Disjoint_8_at_16",
"fan_in": 3,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 9,
"n_chars": 440,
"n_subproofs": 1,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 0,
"automation_only": false,
"... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -90,11 +90,27 @@
-- Spec: full 5-exit classifier
-- ============================================================================
+/-- Two cascade-step `CodeReq`s whose bases are 8 bytes apart are disjoint.
+ Helper for the classifier composition. -/
+theorem step_code_Disjoint_8 (k1 k2 : BitVec 12) (off1 off2... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_6 | 03a717b0d8371d69 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 6 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 4 | [
{
"theorem_name": "step_code_Disjoint_16_at_8",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have h := step_code_Disjoint_16 k1 k2 off1 off2 (base + 8)\n rwa [show (base + 8 : Word) + 16 = base + 24 from ... | [
{
"name": "step_code_Disjoint_16",
"text": "/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/\ntheorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)\n (base : Word) :\n (rlp_phase1_step_code k1 off1 base).Disjoint\n (rlp_phase1_step_code k2 off2 (base + 16)) ... | [
{
"name": "rlp_phase1_classifier_spec_within",
"fan_in": 0,
"n_deps_direct": 8,
"n_deps_transitive": 9,
"n_lines": 95,
"n_chars": 5732,
"n_subproofs": 20,
"n_tactics": 59,
"cyclomatic": 3,
"n_automation": 5,
"n_rewrites": 16,
"n_structural": 10,
"automation_only":... | 9 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -182,6 +182,19 @@
(CodeReq.Disjoint.singleton (by bv_omega))
(CodeReq.Disjoint.singleton (by bv_omega)))
+/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/
+theorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)
+ (base : Word) :
+ (rlp_phase1_step_code k1 o... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_7 | 8ccf3ccc66495360 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 7 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 4 | [
{
"theorem_name": "step_code_Disjoint_16_at_8",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have h := step_code_Disjoint_16 k1 k2 off1 off2 (base + 8)\n rwa [show (base + 8 : Word) + 16 = base + 24 from ... | [
{
"name": "step_code_Disjoint_16",
"text": "/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/\ntheorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)\n (base : Word) :\n (rlp_phase1_step_code k1 off1 base).Disjoint\n (rlp_phase1_step_code k2 off2 (base + 16)) ... | [
{
"name": "rlp_phase1_classifier_spec_pure_within",
"fan_in": 0,
"n_deps_direct": 8,
"n_deps_transitive": 8,
"n_lines": 94,
"n_chars": 5506,
"n_subproofs": 20,
"n_tactics": 64,
"cyclomatic": 3,
"n_automation": 5,
"n_rewrites": 16,
"n_structural": 10,
"automation_o... | 8 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -167,6 +167,19 @@
(CodeReq.Disjoint.singleton (by bv_omega))
(CodeReq.Disjoint.singleton (by bv_omega)))
+/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/
+theorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)
+ (base : Word) :
+ (rlp_phase1_step_code k1 o... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_8 | 34fc29799706f838 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 8 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 6 | [
{
"theorem_name": "rlp_phase1_step_spec_plain_within",
"depth": 1,
"n_commands": 0,
"n_lines": 6,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": "\n cpsBranchWithin_weaken\n (fun _ hp => hp)\n sepConj_strip_pure_end3\n sepConj_strip_pure_end3\n ... | [
{
"name": "rlp_phase1_step_spec_within",
"text": "/-- `cpsBranchWithin` spec for one cascade step.\n\n Taken (`x5 <u kVal`): PC := target (BLTU took the branch)\n Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell through)\n\n Both postconditions preserve `⌜…⌝` so downstream compo... | [
{
"name": "rlp_phase1_step_spec_acc_within",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 25,
"n_chars": 1156,
"n_subproofs": 2,
"n_tactics": 8,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"n_structural": 1,
"automation_only": false... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -78,6 +78,69 @@
-- Spec: cascade step
-- ============================================================================
+/-- `cpsBranchWithin` spec for one cascade step.
+
+ Taken (`x5 <u kVal`): PC := target (BLTU took the branch)
+ Not taken (`¬ x5 <u kVal`): PC := base + 8 (fell throug... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_9 | 0f52b0eaf09d693b | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 9 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 4 | [
{
"theorem_name": "step_code_Disjoint_16_at_8",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have h := step_code_Disjoint_16 k1 k2 off1 off2 (base + 8)\n rwa [show (base + 8 : Word) + 16 = base + 24 from ... | [
{
"name": "step_code_Disjoint_16",
"text": "/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/\ntheorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)\n (base : Word) :\n (rlp_phase1_step_code k1 off1 base).Disjoint\n (rlp_phase1_step_code k2 off2 (base + 16)) ... | [
{
"name": "rlp_phase1_classifier_spec_acc_within",
"fan_in": 1,
"n_deps_direct": 9,
"n_deps_transitive": 9,
"n_lines": 119,
"n_chars": 7340,
"n_subproofs": 20,
"n_tactics": 76,
"cyclomatic": 3,
"n_automation": 5,
"n_rewrites": 16,
"n_structural": 10,
"automation_o... | 9 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -167,6 +167,19 @@
(CodeReq.Disjoint.singleton (by bv_omega))
(CodeReq.Disjoint.singleton (by bv_omega)))
+/-- Cascade-step at `base` is disjoint from step at `base + 16`. -/
+theorem step_code_Disjoint_16 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)
+ (base : Word) :
+ (rlp_phase1_step_code k1 o... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_10 | 878effdb77be6fbc | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 10 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 2 | [
{
"theorem_name": "rlp_phase1_classifier_spec_acc_within",
"depth": 1,
"n_commands": 0,
"n_lines": 75,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n -- Step 1 has no prior accumulator, so use the plain step spec directly;\n -- its pre is just `regs... | [
{
"name": "rlp_phase1_exit_post_acc_unfold",
"text": "/-- Unfold lemma for `rlp_phase1_exit_post_acc`. -/\ntheorem rlp_phase1_exit_post_acc_unfold\n (v5 : Word) (k : BitVec 12) (Acc : Prop) :\n rlp_phase1_exit_post_acc v5 k Acc =\n ((.x5 ↦ᵣ v5) ** (.x0 ↦ᵣ (0 : Word)) **\n (.x10 ↦ᵣ ((0 : Word) +... | [
{
"name": "rlp_phase1_exit_post_acc_pure_mono",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 14,
"n_chars": 526,
"n_subproofs": 0,
"n_tactics": 7,
"cyclomatic": 2,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 5,
"automation_only": fal... | 1 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -112,12 +112,26 @@
let kVal := (0 : Word) + signExtend12 k
(.x5 ↦ᵣ v5) ** (.x0 ↦ᵣ (0 : Word)) ** (.x10 ↦ᵣ kVal) ** ⌜Acc⌝
+/-- Unfold lemma for `rlp_phase1_exit_post_acc`. -/
+theorem rlp_phase1_exit_post_acc_unfold
+ (v5 : Word) (k : BitVec 12) (Acc : Prop) :
+ rlp_phase1_exit_post_acc v5 k Acc =
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_37566fdae4be_11 | 8dc3fd152bea2f47 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/RLP/Phase1.lean | Phase1 | 11 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 19 | 3 | [
{
"theorem_name": "rlp_phase1_classifier_spec_within",
"depth": 1,
"n_commands": 0,
"n_lines": 62,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n -- Step specs (one per cascade step), with per-step target-address witnesses.\n -- rlp_phase1_step_spec... | [
{
"name": "step_code_Disjoint_24",
"text": "/-- Cascade-step at `base` is disjoint from step at `base + 24`. -/\ntheorem step_code_Disjoint_24 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)\n (base : Word) :\n (rlp_phase1_step_code k1 off1 base).Disjoint\n (rlp_phase1_step_code k2 off2 (base + 24)) ... | [
{
"name": "rlp_phase1_classifier_spec_class_within",
"fan_in": 0,
"n_deps_direct": 7,
"n_deps_transitive": 16,
"n_lines": 70,
"n_chars": 3716,
"n_subproofs": 1,
"n_tactics": 39,
"cyclomatic": 9,
"n_automation": 11,
"n_rewrites": 0,
"n_structural": 20,
"automation_... | 16 | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | /-
EvmAsm.Rv64.RLP.Phase1
EL.3 Phase 1: RLP prefix classifier.
Given the first byte `p` of an RLP-encoded item in `x5`, dispatches to one
of five exits based on the Yellow Paper Appendix B boundaries:
| Range | Category |
|----------------|---------------|
| `p < 0x80` | single byte ... | @@ -180,6 +180,19 @@
(CodeReq.Disjoint.singleton (by bv_omega))
(CodeReq.Disjoint.singleton (by bv_omega)))
+/-- Cascade-step at `base` is disjoint from step at `base + 24`. -/
+theorem step_code_Disjoint_24 (k1 k2 : BitVec 12) (off1 off2 : BitVec 13)
+ (base : Word) :
+ (rlp_phase1_step_code k1 o... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_9abacc196e5e_0 | dd9112238d284f5d | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Codegen/Programs/SwdMinimalCopySAsm.lean | SwdMinimalCopySAsm | 0 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 17 | 2 | [
{
"theorem_name": "numLeadingZeros_le",
"depth": 1,
"n_commands": 0,
"n_lines": 2,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [numLeadingZeros_eq_nlz]; exact WhileBreakDemo.nlz_le bs len",
"n_chars": 69,
"n_subproofs": 0,
"n_tactic... | [
{
"name": "numLeadingZeros_eq_nlz",
"text": "/-- Bridge to the recursive `nlz` of `WhileBreakDemo`, whose scan lemmas\n (`nlz_le`/`nlz_continue`/`nlz_break`) we reuse for the strip loop. -/\ntheorem numLeadingZeros_eq_nlz (bs : List (BitVec 8)) (len : Nat) :\n numLeadingZeros bs len = WhileBreakDemo.n... | [
{
"name": "numLeadingZeros_le",
"fan_in": 3,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 5,
"n_chars": 172,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
"automation_only": false,
"max_nest... | 1 | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | @@ -68,8 +68,29 @@
example : strippedBytes [0, 0, 0] 3 = [] := by decide
example : strippedLen [0, 0, 0] 3 = 0 := by decide
+/-- Bridge to the recursive `nlz` of `WhileBreakDemo`, whose scan lemmas
+ (`nlz_le`/`nlz_continue`/`nlz_break`) we reuse for the strip loop. -/
+theorem numLeadingZeros_eq_nlz (bs : List ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_9abacc196e5e_1 | 1251688ede7b050b | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Codegen/Programs/SwdMinimalCopySAsm.lean | SwdMinimalCopySAsm | 1 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 17 | 3 | [
{
"theorem_name": "copyWin_len_eq",
"depth": 1,
"n_commands": 0,
"n_lines": 14,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have hnil : orig.drop (strippedLen bs len) = [] := by simp [h]\n have hnlz : numLeadingZeros bs len ≤ len := numLeadingZer... | [
{
"name": "numLeadingZeros_le",
"text": "theorem numLeadingZeros_le (bs : List (BitVec 8)) (len : Nat) :\n numLeadingZeros bs len ≤ len := by\n rw [numLeadingZeros_eq_nlz]; exact WhileBreakDemo.nlz_le bs len\n\n",
"fan_in": 3,
"n_lines": 5,
"n_chars": 172,
"n_subproofs": 0,
"n_tactic... | [
{
"name": "copyWin_len_eq",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 2,
"n_lines": 18,
"n_chars": 945,
"n_subproofs": 2,
"n_tactics": 15,
"cyclomatic": 1,
"n_automation": 7,
"n_rewrites": 2,
"n_structural": 2,
"automation_only": false,
"max_nestin... | 2 | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | @@ -88,6 +88,10 @@
· rw [show (b == 0) = false from by simpa using hb, if_neg hb]
simp
+theorem numLeadingZeros_le (bs : List (BitVec 8)) (len : Nat) :
+ numLeadingZeros bs len ≤ len := by
+ rw [numLeadingZeros_eq_nlz]; exact WhileBreakDemo.nlz_le bs len
+
/-- The `k`-th copied byte: sour... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_9abacc196e5e_2 | be1dcff2756412fa | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Codegen/Programs/SwdMinimalCopySAsm.lean | SwdMinimalCopySAsm | 2 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 17 | 2 | [
{
"theorem_name": "loadBlock_engine",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [loadBlock, execBlock_cons,\n execInstrRF_lbu_ro _ _ _ _ _ _ _ (load_miss src dst bs len i ws .x5 rf hx5 hi hws hsrc... | [
{
"name": "byteAt_src",
"text": "/-- The byte at `src + m` in the read-only region is `bs.getD m 0`. -/\ntheorem byteAt_src (src : Word) (bs : List (BitVec 8)) (m : Nat) (rf : RegFile) (rs1 : Reg)\n (hrs1 : rf.get rs1 = src + BitVec.ofNat 64 m) (hm : src.toNat + m < 2 ^ 64) :\n (Region.mk src bs).byte... | [
{
"name": "loadBlock_engine",
"fan_in": 1,
"n_deps_direct": 3,
"n_deps_transitive": 3,
"n_lines": 14,
"n_chars": 774,
"n_subproofs": 0,
"n_tactics": 4,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 1,
"n_structural": 0,
"automation_only": false,
"max_nesti... | 3 | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | @@ -189,6 +189,15 @@
BitVec.toNat_sub, BitVec.toNat_add, hm2]; congr 1; omega
rw [hsub]; rcases hdisj with hd | hd <;> omega
+/-- The byte at `src + m` in the read-only region is `bs.getD m 0`. -/
+theorem byteAt_src (src : Word) (bs : List (BitVec 8)) (m : Nat) (rf : RegFile) (rs1 : Reg)
+ (hrs1 : rf.ge... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_9abacc196e5e_3 | 407d8110a439edeb | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Codegen/Programs/SwdMinimalCopySAsm.lean | SwdMinimalCopySAsm | 3 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 17 | 2 | [
{
"theorem_name": "loadBlock_engine",
"depth": 1,
"n_commands": 0,
"n_lines": 4,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [loadBlock, execBlock_cons,\n execInstrRF_lbu_ro _ _ _ _ _ _ _ (load_miss src dst bs len i ws .x5 rf hx5 hi hws hsrc... | [
{
"name": "byteAt_src",
"text": "/-- The byte at `src + m` in the read-only region is `bs.getD m 0`. -/\ntheorem byteAt_src (src : Word) (bs : List (BitVec 8)) (m : Nat) (rf : RegFile) (rs1 : Reg)\n (hrs1 : rf.get rs1 = src + BitVec.ofNat 64 m) (hm : src.toNat + m < 2 ^ 64) :\n (Region.mk src bs).byte... | [
{
"name": "cstepBlock_engine",
"fan_in": 1,
"n_deps_direct": 4,
"n_deps_transitive": 5,
"n_lines": 61,
"n_chars": 3203,
"n_subproofs": 11,
"n_tactics": 44,
"cyclomatic": 1,
"n_automation": 17,
"n_rewrites": 12,
"n_structural": 1,
"automation_only": false,
"max... | 5 | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | @@ -213,6 +213,15 @@
BitVec.toNat_sub, BitVec.toNat_add, hm2]; congr 1; omega
rw [hsub]; rcases hdisj with hd | hd <;> omega
+/-- The byte at `src + m` in the read-only region is `bs.getD m 0`. -/
+theorem byteAt_src (src : Word) (bs : List (BitVec 8)) (m : Nat) (rf : RegFile) (rs1 : Reg)
+ (hrs1 : rf.ge... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_9abacc196e5e_4 | a8a18b67fd983bc1 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Codegen/Programs/SwdMinimalCopySAsm.lean | SwdMinimalCopySAsm | 4 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 17 | 1 | [
{
"theorem_name": "swdMinimalCopyFn_spec",
"depth": 1,
"n_commands": 0,
"n_lines": 263,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have hnlz : numLeadingZeros bs len ≤ len := numLeadingZeros_le bs len\n have hsldef : strippedLen bs len = len - n... | [
{
"name": "cstepRf_get_x29",
"text": "theorem cstepRf_get_x29 (rf : RegFile) (b : BitVec 8) :\n (cstepRf rf b).get .x29 = rf.get .x29 + signExtend12 (1 : BitVec 12) := by\n unfold cstepRf\n rw [RegFile.get_set_self _ _ _ (by decide),\n RegFile.get_set_ne _ _ _ _ (by decide : Reg.x29 ≠ .x7),\n Reg... | [
{
"name": "swdMinimalCopyFn_spec",
"fan_in": 0,
"n_deps_direct": 16,
"n_deps_transitive": 17,
"n_lines": 273,
"n_chars": 15758,
"n_subproofs": 51,
"n_tactics": 315,
"cyclomatic": 17,
"n_automation": 121,
"n_rewrites": 119,
"n_structural": 77,
"automation_only": fa... | 17 | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | /-
EvmAsm.Codegen.Programs.SwdMinimalCopySAsm
Bead evm-asm-4ch8f.12.9 — `swd_minimal_copy`: **verified SAsm port**
(`swdMinimalCopyFn_spec`, classical-3 axioms).
Both former blockers were resolved and merged to main — `.67`
(`blockAt`/`focus_rwAtom`, the `*a3` store) and `.huy8w`
(`Stmt.whileBreak`, the s... | @@ -312,6 +312,14 @@
let r2 := r1.set .x7 (r1.get .x28 + r1.get .x29)
r2.set .x29 (r2.get .x29 + signExtend12 (1 : BitVec 12))
+theorem cstepRf_get_x29 (rf : RegFile) (b : BitVec 8) :
+ (cstepRf rf b).get .x29 = rf.get .x29 + signExtend12 (1 : BitVec 12) := by
+ unfold cstepRf
+ rw [RegFile.get_set_self _ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_a104ecd25a79_0 | b1f1a18f154c8e80 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/EvmWordArith/KnuthAFloorWindowN3.lean | KnuthAFloorWindowN3 | 0 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 1 | 1 | [
{
"theorem_name": "n3_window_div_le_val256_div_plus_two_v5",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [divKTrialCallV5QHat_eq_floor u3 u2 v2 hv2 hcall]\n exact n3_window_top_div_le_val256_div_plus_... | [
{
"name": "n3_window_top_div_le_val256_div_plus_two",
"text": "/-- **v5 n=3 per-digit Knuth-A upper bound (`+2`).** The top-window quotient\n `(u3·2^64+u2)/v2` overshoots the full 4-limb window quotient by at most 2.\n Reuses `knuth_theorem_b_abstract` after scaling both window and divisor by\n `2^... | [
{
"name": "n3_window_div_le_val256_div_plus_two_v5",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 13,
"n_chars": 622,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
"automation_only"... | 1 | /-
EvmAsm.Evm64.EvmWordArith.KnuthAFloorWindowN3
The v5 n=3 per-digit trial bounds — the n=3 analogs of the n=2 lemmas in
`KnuthAFloorWindow`. For a 3-limb divisor `(v0,v1,v2,0)` (top limb `v2`,
normalized `v2 ≥ 2^63`) and a 4-limb window `(u0,u1,u2,u3)` in the call regime
(`u3 < v2`):
- `n3_window_val25... | /-
EvmAsm.Evm64.EvmWordArith.KnuthAFloorWindowN3
The v5 n=3 per-digit trial bounds — the n=3 analogs of the n=2 lemmas in
`KnuthAFloorWindow`. For a 3-limb divisor `(v0,v1,v2,0)` (top limb `v2`,
normalized `v2 ≥ 2^63`) and a 4-limb window `(u0,u1,u2,u3)` in the call regime
(`u3 < v2`):
- `n3_window_val25... | @@ -26,6 +26,27 @@
open EvmWord EvmAsm.Rv64
+/-- **v5 n=3 per-digit Knuth-A upper bound (`+2`).** The top-window quotient
+ `(u3·2^64+u2)/v2` overshoots the full 4-limb window quotient by at most 2.
+ Reuses `knuth_theorem_b_abstract` after scaling both window and divisor by
+ `2^64` (embedding the 3-limb... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_541e4a3dcfd4_0 | d5c7c7da5e806a2b | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/DivMod/Spec/N1V5LaneHborrow.lean | N1V5LaneHborrow | 0 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 1 | 3 | [
{
"theorem_name": "n1v5_lane_hborrow_2_of_shape",
"depth": 1,
"n_commands": 0,
"n_lines": 17,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n obtain ⟨hz1, hz2, hz3⟩ := val256_high_limbs_zero_of_lt_word\n (fullDivN1R3V5 true a0 a1 a2 a3 b0 b1 b2 b3)... | [
{
"name": "n1v5_limb0_toNat_lt_of_val256_lt",
"text": "/-- Nat-version of the limb0 bound: a remainder whose `val256 < v0` has its low\n limb's `toNat < v0.toNat` (the high limbs vanish). -/\ntheorem n1v5_limb0_toNat_lt_of_val256_lt {x0 x1 x2 x3 v0 : Word}\n (h : EvmWord.val256 x0 x1 x2 x3 < v0.toNat)... | [
{
"name": "n1v5_lane_hborrow_2_of_shape",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 34,
"n_chars": 1823,
"n_subproofs": 1,
"n_tactics": 17,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 2,
"automation_only": false,
... | 1 | /-
EvmAsm.Evm64.DivMod.Spec.N1V5LaneHborrow
The four per-digit no-borrow facts for the v5 n=1 lane, discharged from the
divisor shape. In the n=1 normalized call regime each digit's single-limb
mulsub leaves no borrow (the v5 trial is the exact floor), so the loop always
takes the skip path. These are exac... | /-
EvmAsm.Evm64.DivMod.Spec.N1V5LaneHborrow
The four per-digit no-borrow facts for the v5 n=1 lane, discharged from the
divisor shape. In the n=1 normalized call regime each digit's single-limb
mulsub leaves no borrow (the v5 trial is the exact floor), so the loop always
takes the skip path. These are exac... | @@ -17,6 +17,14 @@
open EvmAsm.Rv64
+/-- Nat-version of the limb0 bound: a remainder whose `val256 < v0` has its low
+ limb's `toNat < v0.toNat` (the high limbs vanish). -/
+theorem n1v5_limb0_toNat_lt_of_val256_lt {x0 x1 x2 x3 v0 : Word}
+ (h : EvmWord.val256 x0 x1 x2 x3 < v0.toNat) : x0.toNat < v0.toNat :=... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_541e4a3dcfd4_1 | 75801e29412326af | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/DivMod/Spec/N1V5LaneHborrow.lean | N1V5LaneHborrow | 1 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 1 | 3 | [
{
"theorem_name": "n1v5_lane_hborrow_2_of_shape",
"depth": 1,
"n_commands": 0,
"n_lines": 17,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n obtain ⟨hz1, hz2, hz3⟩ := val256_high_limbs_zero_of_lt_word\n (fullDivN1R3V5 true a0 a1 a2 a3 b0 b1 b2 b3)... | [
{
"name": "n1v5_limb0_toNat_lt_of_val256_lt",
"text": "/-- Nat-version of the limb0 bound: a remainder whose `val256 < v0` has its low\n limb's `toNat < v0.toNat` (the high limbs vanish). -/\ntheorem n1v5_limb0_toNat_lt_of_val256_lt {x0 x1 x2 x3 v0 : Word}\n (h : EvmWord.val256 x0 x1 x2 x3 < v0.toNat)... | [
{
"name": "n1v5_lane_hborrow_1_of_shape",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 34,
"n_chars": 1864,
"n_subproofs": 1,
"n_tactics": 17,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 2,
"automation_only": false,
... | 1 | /-
EvmAsm.Evm64.DivMod.Spec.N1V5LaneHborrow
The four per-digit no-borrow facts for the v5 n=1 lane, discharged from the
divisor shape. In the n=1 normalized call regime each digit's single-limb
mulsub leaves no borrow (the v5 trial is the exact floor), so the loop always
takes the skip path. These are exac... | /-
EvmAsm.Evm64.DivMod.Spec.N1V5LaneHborrow
The four per-digit no-borrow facts for the v5 n=1 lane, discharged from the
divisor shape. In the n=1 normalized call regime each digit's single-limb
mulsub leaves no borrow (the v5 trial is the exact floor), so the loop always
takes the skip path. These are exac... | @@ -17,6 +17,14 @@
open EvmAsm.Rv64
+/-- Nat-version of the limb0 bound: a remainder whose `val256 < v0` has its low
+ limb's `toNat < v0.toNat` (the high limbs vanish). -/
+theorem n1v5_limb0_toNat_lt_of_val256_lt {x0 x1 x2 x3 v0 : Word}
+ (h : EvmWord.val256 x0 x1 x2 x3 < v0.toNat) : x0.toNat < v0.toNat :=... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_541e4a3dcfd4_2 | 362850933e529084 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/DivMod/Spec/N1V5LaneHborrow.lean | N1V5LaneHborrow | 2 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 1 | 3 | [
{
"theorem_name": "n1v5_lane_hborrow_2_of_shape",
"depth": 1,
"n_commands": 0,
"n_lines": 17,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n obtain ⟨hz1, hz2, hz3⟩ := val256_high_limbs_zero_of_lt_word\n (fullDivN1R3V5 true a0 a1 a2 a3 b0 b1 b2 b3)... | [
{
"name": "n1v5_limb0_toNat_lt_of_val256_lt",
"text": "/-- Nat-version of the limb0 bound: a remainder whose `val256 < v0` has its low\n limb's `toNat < v0.toNat` (the high limbs vanish). -/\ntheorem n1v5_limb0_toNat_lt_of_val256_lt {x0 x1 x2 x3 v0 : Word}\n (h : EvmWord.val256 x0 x1 x2 x3 < v0.toNat)... | [
{
"name": "n1v5_lane_hborrow_0_of_shape",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 34,
"n_chars": 1905,
"n_subproofs": 1,
"n_tactics": 17,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 2,
"automation_only": false,
... | 1 | /-
EvmAsm.Evm64.DivMod.Spec.N1V5LaneHborrow
The four per-digit no-borrow facts for the v5 n=1 lane, discharged from the
divisor shape. In the n=1 normalized call regime each digit's single-limb
mulsub leaves no borrow (the v5 trial is the exact floor), so the loop always
takes the skip path. These are exac... | /-
EvmAsm.Evm64.DivMod.Spec.N1V5LaneHborrow
The four per-digit no-borrow facts for the v5 n=1 lane, discharged from the
divisor shape. In the n=1 normalized call regime each digit's single-limb
mulsub leaves no borrow (the v5 trial is the exact floor), so the loop always
takes the skip path. These are exac... | @@ -17,6 +17,14 @@
open EvmAsm.Rv64
+/-- Nat-version of the limb0 bound: a remainder whose `val256 < v0` has its low
+ limb's `toNat < v0.toNat` (the high limbs vanish). -/
+theorem n1v5_limb0_toNat_lt_of_val256_lt {x0 x1 x2 x3 v0 : Word}
+ (h : EvmWord.val256 x0 x1 x2 x3 < v0.toNat) : x0.toNat < v0.toNat :=... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_588b568acd51_0 | 36b60e6b5f76add5 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/SAsm/LoopFuel.lean | LoopFuel | 0 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 3 | 1 | [
{
"theorem_name": "ult_ofNat_left",
"depth": 1,
"n_commands": 0,
"n_lines": 2,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n simp [BitVec.ult, toNat_ofNat_lt hi]",
"n_chars": 42,
"n_subproofs": 0,
"n_tactics": 2,
"cyclomatic": 1,
... | [
{
"name": "toNat_ofNat_lt",
"text": "/-- `toNat` round-trip for an in-range index. -/\ntheorem toNat_ofNat_lt {i : Nat} (h : i < 2 ^ 64) :\n (BitVec.ofNat 64 i).toNat = i := by\n simp only [BitVec.toNat_ofNat]\n omega\n\n",
"fan_in": 1,
"n_lines": 7,
"n_chars": 183,
"n_subproofs": 0,
... | [
{
"name": "ult_ofNat_left",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 10,
"n_chars": 524,
"n_subproofs": 0,
"n_tactics": 2,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 0,
"n_structural": 0,
"automation_only": true,
"max_nesting"... | 1 | /-
EvmAsm.Rv64.SAsm.LoopFuel
The counter-register bridge toolkit for data-dependent and nested loops
(docs/sasm-design.md §3.10, docs/sasm-howto.md §4).
A loop whose iteration count is only known at runtime (an RLP length
field, a BAL item count) is verified with a *static* fuel cap and a
runtime exit con... | /-
EvmAsm.Rv64.SAsm.LoopFuel
The counter-register bridge toolkit for data-dependent and nested loops
(docs/sasm-design.md §3.10, docs/sasm-howto.md §4).
A loop whose iteration count is only known at runtime (an RLP length
field, a BAL item count) is verified with a *static* fuel cap and a
runtime exit con... | @@ -20,13 +20,20 @@
namespace EvmAsm.Rv64
namespace SAsm
+/-- `toNat` round-trip for an in-range index. -/
+theorem toNat_ofNat_lt {i : Nat} (h : i < 2 ^ 64) :
+ (BitVec.ofNat 64 i).toNat = i := by
+ simp only [BitVec.toNat_ofNat]
+ omega
+
/-- The counter/limit bridge: an unsigned compare of the counter regi... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_588b568acd51_1 | 3cc3dcb7ed285f82 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/SAsm/LoopFuel.lean | LoopFuel | 1 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 3 | 1 | [
{
"theorem_name": "Cond.holds_bltu_iff",
"depth": 1,
"n_commands": 0,
"n_lines": 2,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [Cond.holds, h1, ult_ofNat_left _ hi]",
"n_chars": 46,
"n_subproofs": 0,
"n_tactics": 2,
"cyclomatic... | [
{
"name": "ult_ofNat_left",
"text": "/-- The counter/limit bridge: an unsigned compare of the counter register\n (tied to index `i`) against a limit word is the `Nat` compare of the\n index against the limit's value. Forward it gives `i < n` in\n `inv_step`/`.mem` goals; backward (via `not_congr`)... | [
{
"name": "Cond.holds_bltu_iff",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 2,
"n_lines": 8,
"n_chars": 367,
"n_subproofs": 0,
"n_tactics": 2,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 0,
"automation_only": false,
"max_nes... | 2 | /-
EvmAsm.Rv64.SAsm.LoopFuel
The counter-register bridge toolkit for data-dependent and nested loops
(docs/sasm-design.md §3.10, docs/sasm-howto.md §4).
A loop whose iteration count is only known at runtime (an RLP length
field, a BAL item count) is verified with a *static* fuel cap and a
runtime exit con... | /-
EvmAsm.Rv64.SAsm.LoopFuel
The counter-register bridge toolkit for data-dependent and nested loops
(docs/sasm-design.md §3.10, docs/sasm-howto.md §4).
A loop whose iteration count is only known at runtime (an RLP length
field, a BAL item count) is verified with a *static* fuel cap and a
runtime exit con... | @@ -26,11 +26,21 @@
simp only [BitVec.toNat_ofNat]
omega
+/-- The counter/limit bridge: an unsigned compare of the counter register
+ (tied to index `i`) against a limit word is the `Nat` compare of the
+ index against the limit's value. Forward it gives `i < n` in
+ `inv_step`/`.mem` goals; backward ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_588b568acd51_2 | 251fedab4f353dcd | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Rv64/SAsm/LoopFuel.lean | LoopFuel | 2 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 3 | 1 | [
{
"theorem_name": "index_eq_of_not_bltu",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n rw [Cond.holds_bltu_iff h1 hi, h2] at hn\n omega",
"n_chars": 54,
"n_subproofs": 0,
"n_tactics": 3,
"... | [
{
"name": "Cond.holds_bltu_iff",
"text": "/-- `Cond.bltu` on a counter register tied to index `i`: the branch holds\n iff the index is below the limit register's value. -/\ntheorem Cond.holds_bltu_iff {rf : RegFile} {r1 r2 : Reg} {i : Nat}\n (h1 : rf.get r1 = BitVec.ofNat 64 i) (hi : i < 2 ^ 64) :\n ... | [
{
"name": "index_eq_of_not_bltu",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 3,
"n_lines": 11,
"n_chars": 459,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 1,
"n_structural": 0,
"automation_only": false,
"max_n... | 3 | /-
EvmAsm.Rv64.SAsm.LoopFuel
The counter-register bridge toolkit for data-dependent and nested loops
(docs/sasm-design.md §3.10, docs/sasm-howto.md §4).
A loop whose iteration count is only known at runtime (an RLP length
field, a BAL item count) is verified with a *static* fuel cap and a
runtime exit con... | /-
EvmAsm.Rv64.SAsm.LoopFuel
The counter-register bridge toolkit for data-dependent and nested loops
(docs/sasm-design.md §3.10, docs/sasm-howto.md §4).
A loop whose iteration count is only known at runtime (an RLP length
field, a BAL item count) is verified with a *static* fuel cap and a
runtime exit con... | @@ -35,13 +35,22 @@
BitVec.ult (BitVec.ofNat 64 i) v = true ↔ i < v.toNat := by
simp [BitVec.ult, toNat_ofNat_lt hi]
+/-- `Cond.bltu` on a counter register tied to index `i`: the branch holds
+ iff the index is below the limit register's value. -/
+theorem Cond.holds_bltu_iff {rf : RegFile} {r1 r2 : Reg} {... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_efb6ca768ec6_0 | 551c072d7569aadc | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/Shift/ShlCompose.lean | ShlCompose | 0 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 3 | 1 | [
{
"theorem_name": "phase_c_sub_shlCode",
"depth": 1,
"n_commands": 0,
"n_lines": 3,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n intro a i h\n exact ofProg_phase_c_sub_shlCode a i (shr_phase_c_code_sub_ofProg a i h)",
"n_chars": 92,
"n_sub... | [
{
"name": "ofProg_phase_c_sub_shlCode",
"text": "private theorem ofProg_phase_c_sub_shlCode {base : Word} :\n ∀ a i, (CodeReq.ofProg (base + 64) shr_phase_c) a = some i → shlCode base a = some i := by\n unfold shlCode; simp only [CodeReq.unionAll_cons]\n skipBlock; skipBlock\n exact CodeReq.union_mono... | [
{
"name": "phase_c_sub_shlCode",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 7,
"n_chars": 314,
"n_subproofs": 0,
"n_tactics": 3,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"n_structural": 2,
"automation_only": false,
"max_nes... | 1 | /-
EvmAsm.Evm64.Shift.ShlCompose
Hierarchical composition of SHL CPS specs into a single full-program theorem.
Composes the 5 execution paths through `evm_shl` (90 instructions, 360 bytes):
- Zero path (shift ≥ 256): Phase A taken → zero_path
- Body L (L=0..3, shift < 256): Phase A ntaken → B → C(exit L) → b... | /-
EvmAsm.Evm64.Shift.ShlCompose
Hierarchical composition of SHL CPS specs into a single full-program theorem.
Composes the 5 execution paths through `evm_shl` (90 instructions, 360 bytes):
- Zero path (shift ≥ 256): Phase A taken → zero_path
- Body L (L=0..3, shift < 256): Phase A ntaken → B → C(exit L) → b... | @@ -76,9 +76,17 @@
-- Phase C union-chain ⊆ ofProg bridge (`shr_phase_c_code_sub_ofProg`) is shared
-- and lives in `ComposeBase`.
+private theorem ofProg_phase_c_sub_shlCode {base : Word} :
+ ∀ a i, (CodeReq.ofProg (base + 64) shr_phase_c) a = some i → shlCode base a = some i := by
+ unfold shlCode; simp only ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_efb6ca768ec6_1 | 5eb8f96c7799ce41 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/Shift/ShlCompose.lean | ShlCompose | 1 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 3 | 2 | [
{
"theorem_name": "evm_shl_zero_high_spec_within",
"depth": 1,
"n_commands": 0,
"n_lines": 93,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n -- Step 1: LD x5 x12 8 at base → extend to shlCode\n have h1 := cpsTripleWithin_extend_code ld_s1_sub_shlCo... | [
{
"name": "shl_off_340_20",
"text": "private theorem shl_off_340_20 {base : Word} : (base + 340 : Word) + 20 = base + 360 := by bv_omega\n",
"fan_in": 2,
"n_lines": 2,
"n_chars": 100,
"n_subproofs": 0,
"n_tactics": 1,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"... | [
{
"name": "evm_shl_zero_high_spec_within",
"fan_in": 0,
"n_deps_direct": 10,
"n_deps_transitive": 10,
"n_lines": 106,
"n_chars": 5981,
"n_subproofs": 25,
"n_tactics": 80,
"cyclomatic": 1,
"n_automation": 5,
"n_rewrites": 6,
"n_structural": 4,
"automation_only": fa... | 2 | /-
EvmAsm.Evm64.Shift.ShlCompose
Hierarchical composition of SHL CPS specs into a single full-program theorem.
Composes the 5 execution paths through `evm_shl` (90 instructions, 360 bytes):
- Zero path (shift ≥ 256): Phase A taken → zero_path
- Body L (L=0..3, shift < 256): Phase A ntaken → B → C(exit L) → b... | /-
EvmAsm.Evm64.Shift.ShlCompose
Hierarchical composition of SHL CPS specs into a single full-program theorem.
Composes the 5 execution paths through `evm_shl` (90 instructions, 360 bytes):
- Zero path (shift ≥ 256): Phase A taken → zero_path
- Body L (L=0..3, shift < 256): Phase A ntaken → B → C(exit L) → b... | @@ -192,6 +192,7 @@
private theorem shl_off_28 {base : Word} : (base + 28 : Word) + 4 = base + 32 := by bv_omega
private theorem shl_off_32 {base : Word} : (base + 32 : Word) + 4 = base + 36 := by bv_omega
private theorem shl_off_36_28 {base : Word} : (base + 36 : Word) + 28 = base + 64 := by bv_omega
+private theor... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_efb6ca768ec6_2 | 819e020bb097af57 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/Shift/ShlCompose.lean | ShlCompose | 2 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 3 | 2 | [
{
"theorem_name": "evm_shl_zero_high_spec_within",
"depth": 1,
"n_commands": 0,
"n_lines": 93,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n -- Step 1: LD x5 x12 8 at base → extend to shlCode\n have h1 := cpsTripleWithin_extend_code ld_s1_sub_shlCo... | [
{
"name": "shl_off_340_20",
"text": "private theorem shl_off_340_20 {base : Word} : (base + 340 : Word) + 20 = base + 360 := by bv_omega\n",
"fan_in": 2,
"n_lines": 2,
"n_chars": 100,
"n_subproofs": 0,
"n_tactics": 1,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 0,
"... | [
{
"name": "evm_shl_zero_large_spec_within",
"fan_in": 0,
"n_deps_direct": 17,
"n_deps_transitive": 17,
"n_lines": 157,
"n_chars": 9230,
"n_subproofs": 40,
"n_tactics": 112,
"cyclomatic": 1,
"n_automation": 8,
"n_rewrites": 9,
"n_structural": 6,
"automation_only": ... | 2 | /-
EvmAsm.Evm64.Shift.ShlCompose
Hierarchical composition of SHL CPS specs into a single full-program theorem.
Composes the 5 execution paths through `evm_shl` (90 instructions, 360 bytes):
- Zero path (shift ≥ 256): Phase A taken → zero_path
- Body L (L=0..3, shift < 256): Phase A ntaken → B → C(exit L) → b... | /-
EvmAsm.Evm64.Shift.ShlCompose
Hierarchical composition of SHL CPS specs into a single full-program theorem.
Composes the 5 execution paths through `evm_shl` (90 instructions, 360 bytes):
- Zero path (shift ≥ 256): Phase A taken → zero_path
- Body L (L=0..3, shift < 256): Phase A ntaken → B → C(exit L) → b... | @@ -192,6 +192,7 @@
private theorem shl_off_28 {base : Word} : (base + 28 : Word) + 4 = base + 32 := by bv_omega
private theorem shl_off_32 {base : Word} : (base + 32 : Word) + 4 = base + 36 := by bv_omega
private theorem shl_off_36_28 {base : Word} : (base + 36 : Word) + 28 = base + 64 := by bv_omega
+private theor... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_55d2d74d3456_0 | 73192d2d04dfff0d | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/EvmWordArith/DivN4DoubleAddback.lean | DivN4DoubleAddback | 0 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 6 | 2 | [
{
"theorem_name": "iterWithDoubleAddback_val256_conservation_of_carry2",
"depth": 1,
"n_commands": 0,
"n_lines": 76,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n intro out\n subst out\n by_cases hb : BitVec.ult uTop (mulsubN4 q v0 v1 v2 v3 u0 u1 ... | [
{
"name": "hq_over_from_second_carry_one",
"text": "/-- Inversion: if the second-addback carry is 1 (double-addback path), the\n trial quotient `q` overestimates `⌊val256(u)/val256(v)⌋` by at most 2.\n Converse to `addbackN4_second_carry_one` — that theorem assumes\n `hq_over` and proves `carry2 = ... | [
{
"name": "iterWithDoubleAddback_val256_conservation_of_carry2",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 89,
"n_chars": 3969,
"n_subproofs": 15,
"n_tactics": 76,
"cyclomatic": 2,
"n_automation": 6,
"n_rewrites": 16,
"n_structural": 11,
... | 1 | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | @@ -22,6 +22,77 @@
open EvmWord EvmAsm.Rv64
open EvmAsm.Rv64.AddrNorm (word_toNat_1)
+/-- Inversion: if the second-addback carry is 1 (double-addback path), the
+ trial quotient `q` overestimates `⌊val256(u)/val256(v)⌋` by at most 2.
+ Converse to `addbackN4_second_carry_one` — that theorem assumes
+ `hq_o... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_55d2d74d3456_1 | 41d9ee8e90d1dc6f | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/EvmWordArith/DivN4DoubleAddback.lean | DivN4DoubleAddback | 1 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 6 | 1 | [
{
"theorem_name": "iterWithDoubleAddback_val256_conservation_v3_zero_of_carry2",
"depth": 1,
"n_commands": 0,
"n_lines": 9,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n exact iterWithDoubleAddback_val256_conservation_of_carry2\n q v0 v1 v2 0 u0 ... | [
{
"name": "iterWithDoubleAddback_val256_conservation_of_carry2",
"text": "theorem iterWithDoubleAddback_val256_conservation_of_carry2\n (q v0 v1 v2 v3 u0 u1 u2 u3 uTop : Word)\n (hbnz : v0 ||| v1 ||| v2 ||| v3 ≠ 0)\n (hc3_one_of_borrow :\n BitVec.ult uTop (mulsubN4 q v0 v1 v2 v3 u0 u1 u2 u3).2... | [
{
"name": "iterWithDoubleAddback_val256_conservation_v3_zero_of_carry2",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 2,
"n_lines": 19,
"n_chars": 778,
"n_subproofs": 0,
"n_tactics": 9,
"cyclomatic": 1,
"n_automation": 1,
"n_rewrites": 1,
"n_structural": 2,
... | 2 | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | @@ -93,6 +93,94 @@
exact Nat.le_div_iff_mul_le hv_pos |>.mpr (by linarith [Nat.mul_comm (q.toNat - 2) (val256 v0 v1 v2 v3)])
omega
+theorem iterWithDoubleAddback_val256_conservation_of_carry2
+ (q v0 v1 v2 v3 u0 u1 u2 u3 uTop : Word)
+ (hbnz : v0 ||| v1 ||| v2 ||| v3 ≠ 0)
+ (hc3_one_of_borrow :
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_55d2d74d3456_2 | bbd2c92b3a9766e6 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/EvmWordArith/DivN4DoubleAddback.lean | DivN4DoubleAddback | 2 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 6 | 1 | [
{
"theorem_name": "iterN1_val256_conservation_v3_zero_of_carry2",
"depth": 1,
"n_commands": 0,
"n_lines": 12,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n cases bltu\n · simp only [iterN1_false]\n unfold iterN1Max\n exact iterWithDoubleAddba... | [
{
"name": "iterWithDoubleAddback_val256_conservation_v3_zero_of_carry2",
"text": "theorem iterWithDoubleAddback_val256_conservation_v3_zero_of_carry2\n (q v0 v1 v2 u0 u1 u2 u3 uTop : Word)\n (hbnz : v0 ||| v1 ||| v2 ||| (0 : Word) ≠ 0)\n (hcarry2 : isAddbackCarry2Nz q v0 v1 v2 0 u0 u1 u2 u3 uTop) :... | [
{
"name": "iterN1_val256_conservation_v3_zero_of_carry2",
"fan_in": 0,
"n_deps_direct": 1,
"n_deps_transitive": 3,
"n_lines": 26,
"n_chars": 1178,
"n_subproofs": 0,
"n_tactics": 12,
"cyclomatic": 2,
"n_automation": 2,
"n_rewrites": 2,
"n_structural": 3,
"automatio... | 3 | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | @@ -181,6 +181,24 @@
exact iterWithDoubleAddback_no_borrow_val256_conservation
q v0 v1 v2 v3 u0 u1 u2 u3 uTop hb
+theorem iterWithDoubleAddback_val256_conservation_v3_zero_of_carry2
+ (q v0 v1 v2 u0 u1 u2 u3 uTop : Word)
+ (hbnz : v0 ||| v1 ||| v2 ||| (0 : Word) ≠ 0)
+ (hcarry2 : isAddbackCarry2N... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_55d2d74d3456_3 | a2df8ec7b5e20722 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/EvmWordArith/DivN4DoubleAddback.lean | DivN4DoubleAddback | 3 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 6 | 2 | [
{
"theorem_name": "iterWithDoubleAddback_val256_conservation_of_carry2",
"depth": 1,
"n_commands": 0,
"n_lines": 76,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n intro out\n subst out\n by_cases hb : BitVec.ult uTop (mulsubN4 q v0 v1 v2 v3 u0 u1 ... | [
{
"name": "hq_over_from_second_carry_one",
"text": "/-- Inversion: if the second-addback carry is 1 (double-addback path), the\n trial quotient `q` overestimates `⌊val256(u)/val256(v)⌋` by at most 2.\n Converse to `addbackN4_second_carry_one` — that theorem assumes\n `hq_over` and proves `carry2 = ... | [
{
"name": "n4_max_double_addback_correct",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 1,
"n_lines": 154,
"n_chars": 9096,
"n_subproofs": 20,
"n_tactics": 101,
"cyclomatic": 1,
"n_automation": 10,
"n_rewrites": 13,
"n_structural": 10,
"automation_only": ... | 1 | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | @@ -22,6 +22,77 @@
open EvmWord EvmAsm.Rv64
open EvmAsm.Rv64.AddrNorm (word_toNat_1)
+/-- Inversion: if the second-addback carry is 1 (double-addback path), the
+ trial quotient `q` overestimates `⌊val256(u)/val256(v)⌋` by at most 2.
+ Converse to `addbackN4_second_carry_one` — that theorem assumes
+ `hq_o... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_55d2d74d3456_4 | 9bd424f30dd6427a | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/EvmWordArith/DivN4DoubleAddback.lean | DivN4DoubleAddback | 4 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 6 | 1 | [
{
"theorem_name": "n4_max_double_addback_div_mod_limbs",
"depth": 1,
"n_commands": 0,
"n_lines": 12,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n intro ms ab ab' qHat'' a b\n have ⟨hq, hr⟩ := n4_max_double_addback_correct hb3nz hc3_one hcarry1_zer... | [
{
"name": "n4_max_double_addback_correct",
"text": "/-- Double-addback path (c3 = 1, carry1 = 0, carry2 = 1, max trial) at n=4:\n the corrected quotient `qHat - 2 = signExtend12 4095 * 3 = 2^64 - 3`\n equals ⌊val256(a)/val256(b)⌋, and the second-addback remainder equals\n `val256(a) mod val256(b)`.... | [
{
"name": "n4_max_double_addback_div_mod_limbs",
"fan_in": 1,
"n_deps_direct": 1,
"n_deps_transitive": 2,
"n_lines": 47,
"n_chars": 2516,
"n_subproofs": 1,
"n_tactics": 20,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 8,
"n_structural": 10,
"automation_only":... | 2 | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | @@ -93,6 +93,159 @@
exact Nat.le_div_iff_mul_le hv_pos |>.mpr (by linarith [Nat.mul_comm (q.toNat - 2) (val256 v0 v1 v2 v3)])
omega
+/-- Double-addback path (c3 = 1, carry1 = 0, carry2 = 1, max trial) at n=4:
+ the corrected quotient `qHat - 2 = signExtend12 4095 * 3 = 2^64 - 3`
+ equals ⌊val256(a)/val2... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
ablate_55d2d74d3456_5 | 9921f6d658cf6285 | lean | lean | github.com/Verified-zkEVM/evm-asm | 7d5875858bc3727250adb6880c8339048365b1b6 | EvmAsm/Evm64/EvmWordArith/DivN4DoubleAddback.lean | DivN4DoubleAddback | 5 | lemma_delete | null | null | false | 0.5 | 1 | 1 | false | 0 | inf | 0 | inf | 42 | 6 | 1 | [
{
"theorem_name": "n4_max_double_addback_div_mod_getLimbN",
"depth": 1,
"n_commands": 0,
"n_lines": 7,
"is_leaf": true,
"centrality": 0,
"method": "deleted-dep",
"proof_text": " by\n have hraw := n4_max_double_addback_div_mod_limbs\n (a.getLimbN 0) (a.getLimbN 1) (a.getLimbN 2) (... | [
{
"name": "n4_max_double_addback_div_mod_limbs",
"text": "/-- n=4 max+double-addback path: per-limb quotient/remainder equalities.\n Direct consumer-facing form of `n4_max_double_addback_correct` —\n parallels `n4_max_addback_div_mod_limbs`. The corrected quotient is\n `qHat'' = 3 * signExtend12 40... | [
{
"name": "n4_max_double_addback_div_mod_getLimbN",
"fan_in": 0,
"n_deps_direct": 2,
"n_deps_transitive": 4,
"n_lines": 55,
"n_chars": 3072,
"n_subproofs": 1,
"n_tactics": 7,
"cyclomatic": 1,
"n_automation": 0,
"n_rewrites": 1,
"n_structural": 1,
"automation_only"... | 4 | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | /-
EvmAsm.Evm64.EvmWordArith.DivN4DoubleAddback
Inversion of `addbackN4_second_carry_one`: derive the trial-quotient
overestimate bound (`q ≤ ⌊u/v⌋ + 2`) from the second-addback carry = 1.
This unblocks the double-addback correctness path: the runtime
`isAddbackCarry2NzN4Max` check gives the algorithm a car... | @@ -260,6 +260,52 @@
-- Per-limb and EvmWord-level bridges for the double-addback case
-- ============================================================================
+/-- n=4 max+double-addback path: per-limb quotient/remainder equalities.
+ Direct consumer-facing form of `n4_max_double_addback_correct` —
+ ... | {
"repo": "evm-asm",
"git_repo": "github.com/Verified-zkEVM/evm-asm",
"revision": "7d5875858bc3727250adb6880c8339048365b1b6",
"lean_toolchain": "leanprover/lean4:v4.30.0-rc1",
"proof_assistant": "lean",
"ablator": "ablators/lean (corollary-delete-lemmas-leaves-all)",
"ablator_flags": [
"--corollary-de... |
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