sample_id stringlengths 26 111 | category stringclasses 6
values | messages listlengths 2 2 | rendered_text stringlengths 448 53.8k | source dict | environment dict | measurements dict | admission dict |
|---|---|---|---|---|---|---|---|
A-Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional.finrank_add_inf_finrank_orthogonal' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean",
"module": "Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional",
"declaration": "Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional.finrank_add... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 232,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 647,
"lean_code_chars": 208,
"natural_language_chars": 439,
"lean_code_ratio": 0.3215,
"line_count": 9,
"imports_count": 0,
"declarations_count": 70,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Group.Submonoid.Saturation.saturation_sSup | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Submonoid.Saturation)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem saturation_s... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Submonoid.Saturation).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem satur... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Group/Submonoid/Saturation.lean",
"module": "Mathlib.Algebra.Group.Submonoid.Saturation",
"declaration": "Mathlib.Algebra.Group.Submonoid.Saturation.saturation_sSup",
"span": "L335-L337",
"source_url": "https://github.c... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 148,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 516,
"lean_code_chars": 98,
"natural_language_chars": 418,
"lean_code_ratio": 0.1899,
"line_count": 8,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Normed.Group.Basic.mem_sphere_one_iff_norm | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Group.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem mem_sphere_one_iff_... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Group.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem mem_sphere_o... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Normed/Group/Basic.lean",
"module": "Mathlib.Analysis.Normed.Group.Basic",
"declaration": "Mathlib.Analysis.Normed.Group.Basic.mem_sphere_one_iff_norm",
"span": "L303-L304",
"source_url": "https://github.com/leanprover... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 141,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 476,
"lean_code_chars": 65,
"natural_language_chars": 411,
"lean_code_ratio": 0.1366,
"line_count": 7,
"imports_count": 0,
"declarations_count": 54,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Stream.Init.drop_map | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Stream.Init)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem drop_map (n : ℕ) (s : Stream' ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Stream.Init).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem drop_map (n : ℕ) (s : S... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Stream/Init.lean",
"module": "Mathlib.Data.Stream.Init",
"declaration": "Mathlib.Data.Stream.Init.drop_map",
"span": "L135-L137",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 140,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 479,
"lean_code_chars": 79,
"natural_language_chars": 400,
"lean_code_ratio": 0.1649,
"line_count": 7,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.GroupWithZero.Units.Basic.mul_div_mul_right | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma mul_div_mul_rig... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma mul_div_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/GroupWithZero/Units/Basic.lean",
"module": "Mathlib.Algebra.GroupWithZero.Units.Basic",
"declaration": "Mathlib.Algebra.GroupWithZero.Units.Basic.mul_div_mul_right",
"span": "L353-L356",
"source_url": "https://github.co... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 152,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 491,
"lean_code_chars": 74,
"natural_language_chars": 417,
"lean_code_ratio": 0.1507,
"line_count": 7,
"imports_count": 0,
"declarations_count": 59,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Combinatorics.SimpleGraph.AdjMatrix.adjMatrix_apply | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.AdjMatrix)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem adjMatrix_a... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.AdjMatrix).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem adjM... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean",
"module": "Mathlib.Combinatorics.SimpleGraph.AdjMatrix",
"declaration": "Mathlib.Combinatorics.SimpleGraph.AdjMatrix.adjMatrix_apply",
"span": "L169-L172",
"source_url": "https://githu... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 156,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 523,
"lean_code_chars": 104,
"natural_language_chars": 419,
"lean_code_ratio": 0.1989,
"line_count": 8,
"imports_count": 0,
"declarations_count": 62,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.PFilter.sInf_gc | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.PFilter)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem sInf_gc :\n GaloisConnection (... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.PFilter).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem sInf_gc :
GaloisConnec... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/PFilter.lean",
"module": "Mathlib.Order.PFilter",
"declaration": "Mathlib.Order.PFilter.sInf_gc",
"span": "L154-L158",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9dd8da3aab8... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 144,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 505,
"lean_code_chars": 108,
"natural_language_chars": 397,
"lean_code_ratio": 0.2139,
"line_count": 8,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence.homologyFunctor_shiftMap | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma h... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Homology/HomotopyCategory/ShiftSequence.lean",
"module": "Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence",
"declaration": "Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence.homologyFunctor_shiftMap",
"span"... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 277,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 846,
"lean_code_chars": 415,
"natural_language_chars": 431,
"lean_code_ratio": 0.4905,
"line_count": 13,
"imports_count": 0,
"declarations_count": 95,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Set.Subset.image_val_union | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Subset)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma image_val_union : (↑(D ∪ E) : Set... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Subset).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma image_val_union : (↑(D ∪ E... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Set/Subset.lean",
"module": "Mathlib.Data.Set.Subset",
"declaration": "Mathlib.Data.Set.Subset.image_val_union",
"span": "L82-L83",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 136,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 452,
"lean_code_chars": 53,
"natural_language_chars": 399,
"lean_code_ratio": 0.1173,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Order.Group.Unbundled.Basic.div_lt_div_iff' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Group.Unbundled.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem div_lt_div_... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Group.Unbundled.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem div_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Order/Group/Unbundled/Basic.lean",
"module": "Mathlib.Algebra.Order.Group.Unbundled.Basic",
"declaration": "Mathlib.Algebra.Order.Group.Unbundled.Basic.div_lt_div_iff'",
"span": "L662-L664",
"source_url": "https://githu... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 139,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 475,
"lean_code_chars": 56,
"natural_language_chars": 419,
"lean_code_ratio": 0.1179,
"line_count": 7,
"imports_count": 0,
"declarations_count": 56,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.AffineSpace.Matrix.isUnit_toMatrix | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Matrix)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem isUnit_toMatri... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Matrix).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem isUnit_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/AffineSpace/Matrix.lean",
"module": "Mathlib.LinearAlgebra.AffineSpace.Matrix",
"declaration": "Mathlib.LinearAlgebra.AffineSpace.Matrix.isUnit_toMatrix",
"span": "L122-L127",
"source_url": "https://github.com/lea... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 129,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 465,
"lean_code_chars": 49,
"natural_language_chars": 416,
"lean_code_ratio": 0.1054,
"line_count": 7,
"imports_count": 0,
"declarations_count": 51,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.UpperLower.Principal.map_Ioi | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem map_Ioi (f : α ≃o β)... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem map_Ioi (f : ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/UpperLower/Principal.lean",
"module": "Mathlib.Order.UpperLower.Principal",
"declaration": "Mathlib.Order.UpperLower.Principal.map_Ioi",
"span": "L72-L75",
"source_url": "https://github.com/leanprover-community/mathlib4/b... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 144,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 475,
"lean_code_chars": 65,
"natural_language_chars": 410,
"lean_code_ratio": 0.1368,
"line_count": 7,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs.coe_GLPos_neg | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem co... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
the... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean",
"module": "Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs",
"declaration": "Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs.coe_GLPos_neg",
"span": "L391-L396",
"so... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 149,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 507,
"lean_code_chars": 79,
"natural_language_chars": 428,
"lean_code_ratio": 0.1558,
"line_count": 7,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.AffineSpace.Combination.weightedVSubOfPoint_erase | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Combination)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem weightedV... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Combination).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem we... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/AffineSpace/Combination.lean",
"module": "Mathlib.LinearAlgebra.AffineSpace.Combination",
"declaration": "Mathlib.LinearAlgebra.AffineSpace.Combination.weightedVSubOfPoint_erase",
"span": "L138-L145",
"source_url"... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 182,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 585,
"lean_code_chars": 164,
"natural_language_chars": 421,
"lean_code_ratio": 0.2803,
"line_count": 8,
"imports_count": 0,
"declarations_count": 66,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.AdicCompletion.LocalRing.isLocalRing_of_isAdicComplete_maximal | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.AdicCompletion.LocalRing)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem isLocalRing... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.AdicCompletion.LocalRing).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem isLo... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/AdicCompletion/LocalRing.lean",
"module": "Mathlib.RingTheory.AdicCompletion.LocalRing",
"declaration": "Mathlib.RingTheory.AdicCompletion.LocalRing.isLocalRing_of_isAdicComplete_maximal",
"span": "L77-L84",
"source_... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 146,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 525,
"lean_code_chars": 106,
"natural_language_chars": 419,
"lean_code_ratio": 0.2019,
"line_count": 8,
"imports_count": 0,
"declarations_count": 55,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Regular.Basic.IsLeftRegular | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Regular.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma IsLeftRegular.pow (n : ℕ) (... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Regular.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma IsLeftRegular.pow (n... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Regular/Basic.lean",
"module": "Mathlib.Algebra.Regular.Basic",
"declaration": "Mathlib.Algebra.Regular.Basic.IsLeftRegular",
"span": "L187-L190",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e9... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 138,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 485,
"lean_code_chars": 80,
"natural_language_chars": 405,
"lean_code_ratio": 0.1649,
"line_count": 7,
"imports_count": 0,
"declarations_count": 55,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Order.Ring.Unbundled.Basic.mul_nonneg_iff_left_nonneg_of_pos | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.Unbundled.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem mul_nonneg_i... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.Unbundled.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem mul_n... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Order/Ring/Unbundled/Basic.lean",
"module": "Mathlib.Algebra.Order.Ring.Unbundled.Basic",
"declaration": "Mathlib.Algebra.Order.Ring.Unbundled.Basic.mul_nonneg_iff_left_nonneg_of_pos",
"span": "L493-L496",
"source_url":... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 169,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 539,
"lean_code_chars": 121,
"natural_language_chars": 418,
"lean_code_ratio": 0.2245,
"line_count": 8,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Algebra.Module.FiniteDimension.constrL_basis | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Module.FiniteDimension)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem constrL... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Module.FiniteDimension).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Algebra/Module/FiniteDimension.lean",
"module": "Mathlib.Topology.Algebra.Module.FiniteDimension",
"declaration": "Mathlib.Topology.Algebra.Module.FiniteDimension.constrL_basis",
"span": "L467-L477",
"source_url": "htt... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 156,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 509,
"lean_code_chars": 86,
"natural_language_chars": 423,
"lean_code_ratio": 0.169,
"line_count": 7,
"imports_count": 0,
"declarations_count": 60,
"diagnostics_count": 0,
"r... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Algebra.NonUnitalAlgebra.le_of_mem | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.NonUnitalAlgebra)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem le_of_mem {x ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.NonUnitalAlgebra).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem le_of_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Algebra/NonUnitalAlgebra.lean",
"module": "Mathlib.Topology.Algebra.NonUnitalAlgebra",
"declaration": "Mathlib.Topology.Algebra.NonUnitalAlgebra.le_of_mem",
"span": "L145-L149",
"source_url": "https://github.com/leanpr... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 162,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 538,
"lean_code_chars": 121,
"natural_language_chars": 417,
"lean_code_ratio": 0.2249,
"line_count": 8,
"imports_count": 0,
"declarations_count": 66,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.CompleteLattice.Basic.fst_iSup | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.CompleteLattice.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem fst_iSup [SupSet α]... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.CompleteLattice.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem fst_iSup [Su... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/CompleteLattice/Basic.lean",
"module": "Mathlib.Order.CompleteLattice.Basic",
"declaration": "Mathlib.Order.CompleteLattice.Basic.fst_iSup",
"span": "L952-L954",
"source_url": "https://github.com/leanprover-community/math... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 157,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 498,
"lean_code_chars": 87,
"natural_language_chars": 411,
"lean_code_ratio": 0.1747,
"line_count": 7,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Ring.Divisibility.Lemmas.associated_abs_left_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Divisibility.Lemmas)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem associated_abs... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Divisibility.Lemmas).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem associa... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Ring/Divisibility/Lemmas.lean",
"module": "Mathlib.Algebra.Ring.Divisibility.Lemmas",
"declaration": "Mathlib.Algebra.Ring.Divisibility.Lemmas.associated_abs_left_iff",
"span": "L128-L132",
"source_url": "https://github... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 135,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 488,
"lean_code_chars": 72,
"natural_language_chars": 416,
"lean_code_ratio": 0.1475,
"line_count": 8,
"imports_count": 0,
"declarations_count": 54,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.HahnSeries.HEval.powerSeriesFamily_of_orderTop_pos | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.HahnSeries.HEval)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem powerSeriesFamily_o... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.HahnSeries.HEval).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem powerSeriesF... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/HahnSeries/HEval.lean",
"module": "Mathlib.RingTheory.HahnSeries.HEval",
"declaration": "Mathlib.RingTheory.HahnSeries.HEval.powerSeriesFamily_of_orderTop_pos",
"span": "L60-L64",
"source_url": "https://github.com/le... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 178,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 568,
"lean_code_chars": 157,
"natural_language_chars": 411,
"lean_code_ratio": 0.2764,
"line_count": 9,
"imports_count": 0,
"declarations_count": 64,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Algebra.GroupWithZero.Filter | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.GroupWithZero)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem Filter.Tendsto.z... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.GroupWithZero).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem Filter.Te... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Algebra/GroupWithZero.lean",
"module": "Mathlib.Topology.Algebra.GroupWithZero",
"declaration": "Mathlib.Topology.Algebra.GroupWithZero.Filter",
"span": "L351-L356",
"source_url": "https://github.com/leanprover-communi... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 203,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 580,
"lean_code_chars": 166,
"natural_language_chars": 414,
"lean_code_ratio": 0.2862,
"line_count": 8,
"imports_count": 0,
"declarations_count": 72,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex.homologyMap_neg | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean",
"module": "Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex",
"declaration": "Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex.homologyMap_neg",
"span": "L74... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 136,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 494,
"lean_code_chars": 62,
"natural_language_chars": 432,
"lean_code_ratio": 0.1255,
"line_count": 7,
"imports_count": 0,
"declarations_count": 52,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Algebra.Ring.Compact.IsDedekindDomain | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Ring.Compact)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma IsDedekindDomain.is... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Ring.Compact).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma IsDedekindDo... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Algebra/Ring/Compact.lean",
"module": "Mathlib.Topology.Algebra.Ring.Compact",
"declaration": "Mathlib.Topology.Algebra.Ring.Compact.IsDedekindDomain",
"span": "L119-L130",
"source_url": "https://github.com/leanprover-... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 160,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 521,
"lean_code_chars": 108,
"natural_language_chars": 413,
"lean_code_ratio": 0.2073,
"line_count": 9,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Lie.Semisimple.Basic.subsingleton_of_hasTrivialRadical_lie_abelian | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Lie.Semisimple.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem subsingleton_of_ha... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Lie.Semisimple.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem subsingleto... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Lie/Semisimple/Basic.lean",
"module": "Mathlib.Algebra.Lie.Semisimple.Basic",
"declaration": "Mathlib.Algebra.Lie.Semisimple.Basic.subsingleton_of_hasTrivialRadical_lie_abelian",
"span": "L313-L317",
"source_url": "http... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 153,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 532,
"lean_code_chars": 120,
"natural_language_chars": 412,
"lean_code_ratio": 0.2256,
"line_count": 8,
"imports_count": 0,
"declarations_count": 56,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Prod.Lex.covBy_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Prod.Lex)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem covBy_iff {a b : α ×ₗ β} :\n a... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Prod.Lex).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem covBy_iff {a b : α ×ₗ β} :... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Prod/Lex.lean",
"module": "Mathlib.Data.Prod.Lex",
"declaration": "Mathlib.Data.Prod.Lex.covBy_iff",
"span": "L102-L113",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9dd8da3aa... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 203,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 572,
"lean_code_chars": 175,
"natural_language_chars": 397,
"lean_code_ratio": 0.3059,
"line_count": 9,
"imports_count": 0,
"declarations_count": 70,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder.LocallyFiniteOrder | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ndef LocallyFini... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
def Loca... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Order/Monoid/LocallyFiniteOrder.lean",
"module": "Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder",
"declaration": "Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder.LocallyFiniteOrder",
"span": "L75-L102",
"source_url": ... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 141,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 488,
"lean_code_chars": 65,
"natural_language_chars": 423,
"lean_code_ratio": 0.1332,
"line_count": 9,
"imports_count": 0,
"declarations_count": 52,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Set.Accumulate.accumulate_eq_biInter_lt | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Accumulate)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem accumulate_eq_biInter_lt {s... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Accumulate).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem accumulate_eq_biInte... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Set/Accumulate.lean",
"module": "Mathlib.Data.Set.Accumulate",
"declaration": "Mathlib.Data.Set.Accumulate.accumulate_eq_biInter_lt",
"span": "L38-L40",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 152,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 496,
"lean_code_chars": 93,
"natural_language_chars": 403,
"lean_code_ratio": 0.1875,
"line_count": 7,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.MvPolynomial.Basic.restrictScalars_restrictSupportIdeal | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.MvPolynomial.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma restrictScalars_res... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.MvPolynomial.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma restrictScal... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/MvPolynomial/Basic.lean",
"module": "Mathlib.RingTheory.MvPolynomial.Basic",
"declaration": "Mathlib.RingTheory.MvPolynomial.Basic.restrictScalars_restrictSupportIdeal",
"span": "L160-L166",
"source_url": "https://gi... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 150,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 511,
"lean_code_chars": 98,
"natural_language_chars": 413,
"lean_code_ratio": 0.1918,
"line_count": 8,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.UpperLower.Principal.Ioi_eq_top | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem Ioi_eq_top [OrderTop... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem Ioi_eq_top [O... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/UpperLower/Principal.lean",
"module": "Mathlib.Order.UpperLower.Principal",
"declaration": "Mathlib.Order.UpperLower.Principal.Ioi_eq_top",
"span": "L122-L126",
"source_url": "https://github.com/leanprover-community/mathl... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 141,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 470,
"lean_code_chars": 60,
"natural_language_chars": 410,
"lean_code_ratio": 0.1277,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.NumberTheory.Transcendental.Liouville.Measure.Real | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.Transcendental.Liouville.Measure)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem R... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.Transcendental.Liouville.Measure).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
th... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/NumberTheory/Transcendental/Liouville/Measure.lean",
"module": "Mathlib.NumberTheory.Transcendental.Liouville.Measure",
"declaration": "Mathlib.NumberTheory.Transcendental.Liouville.Measure.Real",
"span": "L123-L124",
"source_u... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 140,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 499,
"lean_code_chars": 70,
"natural_language_chars": 429,
"lean_code_ratio": 0.1403,
"line_count": 7,
"imports_count": 0,
"declarations_count": 52,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.Multilinear.Curry.currySum_uncurrySum | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Multilinear.Curry)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma currySum_uncurryS... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Multilinear.Curry).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma currySum_u... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/Multilinear/Curry.lean",
"module": "Mathlib.LinearAlgebra.Multilinear.Curry",
"declaration": "Mathlib.LinearAlgebra.Multilinear.Curry.currySum_uncurrySum",
"span": "L315-L323",
"source_url": "https://github.com/le... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 182,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 581,
"lean_code_chars": 166,
"natural_language_chars": 415,
"lean_code_ratio": 0.2857,
"line_count": 10,
"imports_count": 0,
"declarations_count": 68,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.NhdsWithin.closure_pi_set | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.NhdsWithin)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem closure_pi_set {ι : Type*} ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.NhdsWithin).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem closure_pi_set {ι : ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/NhdsWithin.lean",
"module": "Mathlib.Topology.NhdsWithin",
"declaration": "Mathlib.Topology.NhdsWithin.closure_pi_set",
"span": "L411-L414",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 177,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 570,
"lean_code_chars": 167,
"natural_language_chars": 403,
"lean_code_ratio": 0.293,
"line_count": 8,
"imports_count": 0,
"declarations_count": 70,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.FixedSubmodule.mem_fixedSubmodule_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.FixedSubmodule)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem mem_fixedSubmodule... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.FixedSubmodule).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem mem_fixedSu... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/FixedSubmodule.lean",
"module": "Mathlib.LinearAlgebra.FixedSubmodule",
"declaration": "Mathlib.LinearAlgebra.FixedSubmodule.mem_fixedSubmodule_iff",
"span": "L42-L45",
"source_url": "https://github.com/leanprover... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 152,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 504,
"lean_code_chars": 92,
"natural_language_chars": 412,
"lean_code_ratio": 0.1825,
"line_count": 8,
"imports_count": 0,
"declarations_count": 59,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Calculus.BumpFunction.Normed.normed_le_div_measure_closedBall_rOut | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.BumpFunction.Normed)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem normed_le... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.BumpFunction.Normed).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem no... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Calculus/BumpFunction/Normed.lean",
"module": "Mathlib.Analysis.Calculus.BumpFunction.Normed",
"declaration": "Mathlib.Analysis.Calculus.BumpFunction.Normed.normed_le_div_measure_closedBall_rOut",
"span": "L137-L152",
... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 188,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 601,
"lean_code_chars": 180,
"natural_language_chars": 421,
"lean_code_ratio": 0.2995,
"line_count": 9,
"imports_count": 0,
"declarations_count": 65,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.SpecialFunctions.Exponential.hasStrictDerivAt_exp_smul_const_of_mem_ball' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.SpecialFunctions.Exponential)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem hasStrict... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.SpecialFunctions.Exponential).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem ha... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/SpecialFunctions/Exponential.lean",
"module": "Mathlib.Analysis.SpecialFunctions.Exponential",
"declaration": "Mathlib.Analysis.SpecialFunctions.Exponential.hasStrictDerivAt_exp_smul_const_of_mem_ball'",
"span": "L324-L3... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 213,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 624,
"lean_code_chars": 203,
"natural_language_chars": 421,
"lean_code_ratio": 0.3253,
"line_count": 9,
"imports_count": 0,
"declarations_count": 67,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.BigOperators.Field.dens_biUnion_le | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.BigOperators.Field)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma dens_biUnion_le [Decid... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.BigOperators.Field).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma dens_biUnion_le... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/BigOperators/Field.lean",
"module": "Mathlib.Algebra.BigOperators.Field",
"declaration": "Mathlib.Algebra.BigOperators.Field.dens_biUnion_le",
"span": "L45-L49",
"source_url": "https://github.com/leanprover-community/ma... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 144,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 491,
"lean_code_chars": 81,
"natural_language_chars": 410,
"lean_code_ratio": 0.165,
"line_count": 7,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
"r... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Compactness.Lindelof.IsLindelof | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Compactness.Lindelof)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem IsLindelof.inter_... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Compactness.Lindelof).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem IsLindelof... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Compactness/Lindelof.lean",
"module": "Mathlib.Topology.Compactness.Lindelof",
"declaration": "Mathlib.Topology.Compactness.Lindelof.IsLindelof",
"span": "L241-L248",
"source_url": "https://github.com/leanprover-commun... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 212,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 628,
"lean_code_chars": 215,
"natural_language_chars": 413,
"lean_code_ratio": 0.3424,
"line_count": 9,
"imports_count": 0,
"declarations_count": 76,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.GroupWithZero.Units.Basic.eq_mul_inverse_iff_mul_eq | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem eq_mul_invers... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem eq_mul... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/GroupWithZero/Units/Basic.lean",
"module": "Mathlib.Algebra.GroupWithZero.Units.Basic",
"declaration": "Mathlib.Algebra.GroupWithZero.Units.Basic.eq_mul_inverse_iff_mul_eq",
"span": "L124-L129",
"source_url": "https://g... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 159,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 506,
"lean_code_chars": 89,
"natural_language_chars": 417,
"lean_code_ratio": 0.1759,
"line_count": 7,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Combinatorics.SimpleGraph.DegreeSum.dart_fst_fiber_card_eq_degree | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.DegreeSum)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem dart_fst_fi... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.DegreeSum).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem dart... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean",
"module": "Mathlib.Combinatorics.SimpleGraph.DegreeSum",
"declaration": "Mathlib.Combinatorics.SimpleGraph.DegreeSum.dart_fst_fiber_card_eq_degree",
"span": "L66-L70",
"source_url": "h... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 156,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 526,
"lean_code_chars": 107,
"natural_language_chars": 419,
"lean_code_ratio": 0.2034,
"line_count": 8,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Homology.AlternatingConst.alternatingConstHomologyDataZero | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.AlternatingConst)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ndef alternatingConstH... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.AlternatingConst).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
def alternatin... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Homology/AlternatingConst.lean",
"module": "Mathlib.Algebra.Homology.AlternatingConst",
"declaration": "Mathlib.Algebra.Homology.AlternatingConst.alternatingConstHomologyDataZero",
"span": "L185-L188",
"source_url": "ht... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 155,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 534,
"lean_code_chars": 117,
"natural_language_chars": 417,
"lean_code_ratio": 0.2191,
"line_count": 8,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Order.Ring.IsNonarchimedean.apply_natCast_le_one_of_isNonarchimedean | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.IsNonarchimedean)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma apply_natCast... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.IsNonarchimedean).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma apply_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Order/Ring/IsNonarchimedean.lean",
"module": "Mathlib.Algebra.Order.Ring.IsNonarchimedean",
"declaration": "Mathlib.Algebra.Order.Ring.IsNonarchimedean.apply_natCast_le_one_of_isNonarchimedean",
"span": "L53-L60",
"sour... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 208,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 642,
"lean_code_chars": 223,
"natural_language_chars": 419,
"lean_code_ratio": 0.3474,
"line_count": 9,
"imports_count": 0,
"declarations_count": 71,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.GroupTheory.CoprodI.mem_smul_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.CoprodI)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem mem_smul_iff {i j : ι} {m₁ ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.CoprodI).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem mem_smul_iff {i j : ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/GroupTheory/CoprodI.lean",
"module": "Mathlib.GroupTheory.CoprodI",
"declaration": "Mathlib.GroupTheory.CoprodI.mem_smul_iff",
"span": "L508-L542",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 295,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 716,
"lean_code_chars": 313,
"natural_language_chars": 403,
"lean_code_ratio": 0.4372,
"line_count": 12,
"imports_count": 0,
"declarations_count": 91,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Normed.Field.UnitBall.Metric | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Field.UnitBall)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ninstance Metric.unitClos... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Field.UnitBall).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
instance Metric.u... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Normed/Field/UnitBall.lean",
"module": "Mathlib.Analysis.Normed.Field.UnitBall",
"declaration": "Mathlib.Analysis.Normed.Field.UnitBall.Metric",
"span": "L144-L147",
"source_url": "https://github.com/leanprover-communi... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 166,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 540,
"lean_code_chars": 126,
"natural_language_chars": 414,
"lean_code_ratio": 0.2333,
"line_count": 8,
"imports_count": 0,
"declarations_count": 52,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Real.Hyperreal.infinitePos_abs_iff_infinite | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Real.Hyperreal)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem infinitePos_abs_iff_inf... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Real.Hyperreal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem infinitePos_abs_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Real/Hyperreal.lean",
"module": "Mathlib.Analysis.Real.Hyperreal",
"declaration": "Mathlib.Analysis.Real.Hyperreal.infinitePos_abs_iff_infinite",
"span": "L776-L779",
"source_url": "https://github.com/leanprover-commun... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 139,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 484,
"lean_code_chars": 77,
"natural_language_chars": 407,
"lean_code_ratio": 0.1591,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.Polynomial.Cyclotomic.Eval.eval_one_cyclotomic_not_prime_pow | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Polynomial.Cyclotomic.Eval)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem eval_one_... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Polynomial.Cyclotomic.Eval).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem ev... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean",
"module": "Mathlib.RingTheory.Polynomial.Cyclotomic.Eval",
"declaration": "Mathlib.RingTheory.Polynomial.Cyclotomic.Eval.eval_one_cyclotomic_not_prime_pow",
"span": "L135-L169",
"sou... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 191,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 572,
"lean_code_chars": 151,
"natural_language_chars": 421,
"lean_code_ratio": 0.264,
"line_count": 8,
"imports_count": 0,
"declarations_count": 64,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.List.Basic.mem_getLast | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.List.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem mem_getLast?_append_of_mem_getL... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.List.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem mem_getLast?_append_of_m... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/List/Basic.lean",
"module": "Mathlib.Data.List.Basic",
"declaration": "Mathlib.Data.List.Basic.mem_getLast",
"span": "L376-L378",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 160,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 520,
"lean_code_chars": 121,
"natural_language_chars": 399,
"lean_code_ratio": 0.2327,
"line_count": 8,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.InnerProductSpace.Spectrum.orthogonalFamily_eigenspaces' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Spectrum)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem orthogonalF... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Spectrum).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem orth... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/InnerProductSpace/Spectrum.lean",
"module": "Mathlib.Analysis.InnerProductSpace.Spectrum",
"declaration": "Mathlib.Analysis.InnerProductSpace.Spectrum.orthogonalFamily_eigenspaces'",
"span": "L109-L115",
"source_url": ... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 172,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 587,
"lean_code_chars": 168,
"natural_language_chars": 419,
"lean_code_ratio": 0.2862,
"line_count": 9,
"imports_count": 0,
"declarations_count": 60,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.AffineSpace.Independent.affineIndependent_of_ne_of_notMem_of_mem_of_mem | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Independent)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem affineInd... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Independent).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem af... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/AffineSpace/Independent.lean",
"module": "Mathlib.LinearAlgebra.AffineSpace.Independent",
"declaration": "Mathlib.LinearAlgebra.AffineSpace.Independent.affineIndependent_of_ne_of_notMem_of_mem_of_mem",
"span": "L876... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 214,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 624,
"lean_code_chars": 203,
"natural_language_chars": 421,
"lean_code_ratio": 0.3253,
"line_count": 9,
"imports_count": 0,
"declarations_count": 74,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Combinatorics.SimpleGraph.Walks.Operations.drop_add_heq | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.Walks.Operations)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma drop_a... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.Walks.Operations).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean",
"module": "Mathlib.Combinatorics.SimpleGraph.Walks.Operations",
"declaration": "Mathlib.Combinatorics.SimpleGraph.Walks.Operations.drop_add_heq",
"span": "L519-L522",
"source_ur... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 155,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 509,
"lean_code_chars": 83,
"natural_language_chars": 426,
"lean_code_ratio": 0.1631,
"line_count": 7,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Quandle.invAct_act_eq | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Quandle)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem invAct_act_eq (x y : R) : x ◃⁻¹... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Quandle).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem invAct_act_eq (x y : R) ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Quandle.lean",
"module": "Mathlib.Algebra.Quandle",
"declaration": "Mathlib.Algebra.Quandle.invAct_act_eq",
"span": "L201-L203",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 136,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 449,
"lean_code_chars": 50,
"natural_language_chars": 399,
"lean_code_ratio": 0.1114,
"line_count": 7,
"imports_count": 0,
"declarations_count": 55,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.EMetricSpace.Lipschitz.edist_iterate_succ_le_geometric | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.EMetricSpace.Lipschitz)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem edist_iterate_s... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.EMetricSpace.Lipschitz).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem edist_it... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/EMetricSpace/Lipschitz.lean",
"module": "Mathlib.Topology.EMetricSpace.Lipschitz",
"declaration": "Mathlib.Topology.EMetricSpace.Lipschitz.edist_iterate_succ_le_geometric",
"span": "L272-L303",
"source_url": "https://g... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 191,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 567,
"lean_code_chars": 152,
"natural_language_chars": 415,
"lean_code_ratio": 0.2681,
"line_count": 8,
"imports_count": 0,
"declarations_count": 68,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Seq.Computation.eq_of_bisim | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Seq.Computation)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem eq_of_bisim (bisim : IsBis... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Seq.Computation).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem eq_of_bisim (bisim ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Seq/Computation.lean",
"module": "Mathlib.Data.Seq.Computation",
"declaration": "Mathlib.Data.Seq.Computation.eq_of_bisim",
"span": "L254-L284",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 150,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 483,
"lean_code_chars": 79,
"natural_language_chars": 404,
"lean_code_ratio": 0.1636,
"line_count": 7,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Order.Basic.induced_topology_eq_preorder | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Order.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem induced_topology_eq_preord... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Order.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem induced_topology_eq... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Order/Basic.lean",
"module": "Mathlib.Topology.Order.Basic",
"declaration": "Mathlib.Topology.Order.Basic.induced_topology_eq_preorder",
"span": "L273-L293",
"source_url": "https://github.com/leanprover-community/mathl... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 267,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 747,
"lean_code_chars": 343,
"natural_language_chars": 404,
"lean_code_ratio": 0.4592,
"line_count": 11,
"imports_count": 0,
"declarations_count": 98,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.MonoidAlgebra.Defs.mul_def | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.MonoidAlgebra.Defs)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma mul_def (x y : R[M]) :... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.MonoidAlgebra.Defs).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma mul_def (x y : ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/MonoidAlgebra/Defs.lean",
"module": "Mathlib.Algebra.MonoidAlgebra.Defs",
"declaration": "Mathlib.Algebra.MonoidAlgebra.Defs.mul_def",
"span": "L424-L428",
"source_url": "https://github.com/leanprover-community/mathlib4... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 167,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 514,
"lean_code_chars": 104,
"natural_language_chars": 410,
"lean_code_ratio": 0.2023,
"line_count": 8,
"imports_count": 0,
"declarations_count": 67,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.Ideal.Operations.prod_span_singleton | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Operations)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem prod_span_singleton... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Operations).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem prod_span_si... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/Ideal/Operations.lean",
"module": "Mathlib.RingTheory.Ideal.Operations",
"declaration": "Mathlib.RingTheory.Ideal.Operations.prod_span_singleton",
"span": "L634-L637",
"source_url": "https://github.com/leanprover-com... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 173,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 550,
"lean_code_chars": 139,
"natural_language_chars": 411,
"lean_code_ratio": 0.2527,
"line_count": 8,
"imports_count": 0,
"declarations_count": 65,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.Interval.Multiset.Icc_self | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Multiset)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem Icc_self (a : α) : Icc ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Multiset).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem Icc_self (a : α)... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/Interval/Multiset.lean",
"module": "Mathlib.Order.Interval.Multiset",
"declaration": "Mathlib.Order.Interval.Multiset.Icc_self",
"span": "L230-L231",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 129,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 448,
"lean_code_chars": 41,
"natural_language_chars": 407,
"lean_code_ratio": 0.0915,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.Matrix.ZPow.Commute | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.ZPow)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem Commute.zpow_right {A... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.ZPow).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem Commute.zpow_r... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/Matrix/ZPow.lean",
"module": "Mathlib.LinearAlgebra.Matrix.ZPow",
"declaration": "Mathlib.LinearAlgebra.Matrix.ZPow.Commute",
"span": "L194-L200",
"source_url": "https://github.com/leanprover-community/mathlib4/bl... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 147,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 492,
"lean_code_chars": 83,
"natural_language_chars": 409,
"lean_code_ratio": 0.1687,
"line_count": 7,
"imports_count": 0,
"declarations_count": 60,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Ring.Opposite.instRing | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Opposite)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ninstance instRing [Ring R] : Ring... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Opposite).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
instance instRing [Ring R]... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Ring/Opposite.lean",
"module": "Mathlib.Algebra.Ring.Opposite",
"declaration": "Mathlib.Algebra.Ring.Opposite.instRing",
"span": "L198-L201",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 136,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 455,
"lean_code_chars": 50,
"natural_language_chars": 405,
"lean_code_ratio": 0.1099,
"line_count": 8,
"imports_count": 0,
"declarations_count": 54,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.GroupTheory.GroupAction.Jordan.MulAction | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.GroupAction.Jordan)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem MulAction.IsPrep... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.GroupAction.Jordan).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem MulAction... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/GroupTheory/GroupAction/Jordan.lean",
"module": "Mathlib.GroupTheory.GroupAction.Jordan",
"declaration": "Mathlib.GroupTheory.GroupAction.Jordan.MulAction",
"span": "L247-L306",
"source_url": "https://github.com/leanprover-comm... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 220,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 690,
"lean_code_chars": 276,
"natural_language_chars": 414,
"lean_code_ratio": 0.4,
"line_count": 11,
"imports_count": 0,
"declarations_count": 71,
"diagnostics_count": 0,
"r... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Homology.ExactSequenceFour.epi_cokerToKer' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ExactSequenceFour)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma epi_cokerToKer... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ExactSequenceFour).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma epi_cok... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Homology/ExactSequenceFour.lean",
"module": "Mathlib.Algebra.Homology.ExactSequenceFour",
"declaration": "Mathlib.Algebra.Homology.ExactSequenceFour.epi_cokerToKer'",
"span": "L112-L123",
"source_url": "https://github.c... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 161,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 518,
"lean_code_chars": 100,
"natural_language_chars": 418,
"lean_code_ratio": 0.1931,
"line_count": 8,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Set.Function.injOn_subtype_val | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Function)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem injOn_subtype_val {p : α → Pr... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Function).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem injOn_subtype_val {p :... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Set/Function.lean",
"module": "Mathlib.Data.Set.Function",
"declaration": "Mathlib.Data.Set.Function.injOn_subtype_val",
"span": "L301-L303",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd2... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 141,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 489,
"lean_code_chars": 88,
"natural_language_chars": 401,
"lean_code_ratio": 0.18,
"line_count": 7,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"re... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.LinearAlgebra.AffineSpace.AffineMap.linear_injective_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.AffineMap)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem linear_inje... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.AffineMap).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem line... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean",
"module": "Mathlib.LinearAlgebra.AffineSpace.AffineMap",
"declaration": "Mathlib.LinearAlgebra.AffineSpace.AffineMap.linear_injective_iff",
"span": "L422-L429",
"source_url": "https://... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 149,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 523,
"lean_code_chars": 104,
"natural_language_chars": 419,
"lean_code_ratio": 0.1989,
"line_count": 8,
"imports_count": 0,
"declarations_count": 56,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.Valuation.ValuationSubring.valuationSubring_eq_top_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Valuation.ValuationSubring)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem valuation... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Valuation.ValuationSubring).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem va... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/Valuation/ValuationSubring.lean",
"module": "Mathlib.RingTheory.Valuation.ValuationSubring",
"declaration": "Mathlib.RingTheory.Valuation.ValuationSubring.valuationSubring_eq_top_iff",
"span": "L473-L482",
"source_ur... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 144,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 501,
"lean_code_chars": 80,
"natural_language_chars": 421,
"lean_code_ratio": 0.1597,
"line_count": 7,
"imports_count": 0,
"declarations_count": 50,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.Ideal.Maps.annihilator_span_singleton | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Maps)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem annihilator_span_singleto... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Maps).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem annihilator_span_s... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/Ideal/Maps.lean",
"module": "Mathlib.RingTheory.Ideal.Maps",
"declaration": "Mathlib.RingTheory.Ideal.Maps.annihilator_span_singleton",
"span": "L984-L987",
"source_url": "https://github.com/leanprover-community/math... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 151,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 519,
"lean_code_chars": 114,
"natural_language_chars": 405,
"lean_code_ratio": 0.2197,
"line_count": 8,
"imports_count": 0,
"declarations_count": 59,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Matrix.Diagonal.diagonal_apply | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Matrix.Diagonal)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem diagonal_apply [Zero α] (d... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Matrix.Diagonal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem diagonal_apply [Zer... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Matrix/Diagonal.lean",
"module": "Mathlib.Data.Matrix.Diagonal",
"declaration": "Mathlib.Data.Matrix.Diagonal.diagonal_apply",
"span": "L54-L56",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f9... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 147,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 498,
"lean_code_chars": 94,
"natural_language_chars": 404,
"lean_code_ratio": 0.1888,
"line_count": 7,
"imports_count": 0,
"declarations_count": 64,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.Interval.Finset.Basic.nonempty_Ioi | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Finset.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma nonempty_Ioi : (Ioi a... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Finset.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma nonempty_Ioi :... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/Interval/Finset/Basic.lean",
"module": "Mathlib.Order.Interval.Finset.Basic",
"declaration": "Mathlib.Order.Interval.Finset.Basic.nonempty_Ioi",
"span": "L349-L350",
"source_url": "https://github.com/leanprover-community/... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 132,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 461,
"lean_code_chars": 50,
"natural_language_chars": 411,
"lean_code_ratio": 0.1085,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Group.Pointwise.Set.Scalar.image_vsub_prod | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Pointwise.Set.Scalar)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma image_vsub_pro... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Pointwise.Set.Scalar).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma image_v... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Group/Pointwise/Set/Scalar.lean",
"module": "Mathlib.Algebra.Group.Pointwise.Set.Scalar",
"declaration": "Mathlib.Algebra.Group.Pointwise.Set.Scalar.image_vsub_prod",
"span": "L232-L233",
"source_url": "https://github.c... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 153,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 494,
"lean_code_chars": 76,
"natural_language_chars": 418,
"lean_code_ratio": 0.1538,
"line_count": 7,
"imports_count": 0,
"declarations_count": 56,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart.quasispectrum_realPart' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart)."
},
{
"role": "user",
"content": "Complete the following proof... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the follo... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/RealImaginaryPart.lean",
"module": "Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart",
"declaration": "Mathlib.Analysis.CStarAlgebra.ContinuousFunctiona... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 144,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 511,
"lean_code_chars": 59,
"natural_language_chars": 452,
"lean_code_ratio": 0.1155,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.UpperLower.Closure.upperClosure_sUnion | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Closure)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem upperClosure_sUnion (S... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Closure).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem upperClosure_sU... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/UpperLower/Closure.lean",
"module": "Mathlib.Order.UpperLower.Closure",
"declaration": "Mathlib.Order.UpperLower.Closure.upperClosure_sUnion",
"span": "L146-L148",
"source_url": "https://github.com/leanprover-community/ma... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 151,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 502,
"lean_code_chars": 94,
"natural_language_chars": 408,
"lean_code_ratio": 0.1873,
"line_count": 7,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Algebra.Module.Determinant.det_smulRight | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Module.Determinant)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem det_smulRig... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Module.Determinant).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem det_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Algebra/Module/Determinant.lean",
"module": "Mathlib.Topology.Algebra.Module.Determinant",
"declaration": "Mathlib.Topology.Algebra.Module.Determinant.det_smulRight",
"span": "L33-L35",
"source_url": "https://github.co... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 199,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 565,
"lean_code_chars": 146,
"natural_language_chars": 419,
"lean_code_ratio": 0.2584,
"line_count": 8,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Order.closure | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Order)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem closure.mono (h : t₁ ≤ t₂) : clo... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Order).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem closure.mono (h : t₁ ≤ t₂... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Order.lean",
"module": "Mathlib.Topology.Order",
"declaration": "Mathlib.Topology.Order.closure",
"span": "L227-L229",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9dd8da3a... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 138,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 465,
"lean_code_chars": 67,
"natural_language_chars": 398,
"lean_code_ratio": 0.1441,
"line_count": 7,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv.localInverse_apply_image | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Calculus/InverseFunctionTheorem/FDeriv.lean",
"module": "Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv",
"declaration": "Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv.localInverse_apply_image",
"span"... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 171,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 549,
"lean_code_chars": 118,
"natural_language_chars": 431,
"lean_code_ratio": 0.2149,
"line_count": 8,
"imports_count": 0,
"declarations_count": 63,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.Hom.CompleteLattice.coe_mk | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Hom.CompleteLattice)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma coe_mk (f : α → β) (hf)... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Hom.CompleteLattice).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma coe_mk (f : α → ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/Hom/CompleteLattice.lean",
"module": "Mathlib.Order.Hom.CompleteLattice",
"declaration": "Mathlib.Order.Hom.CompleteLattice.coe_mk",
"span": "L230-L231",
"source_url": "https://github.com/leanprover-community/mathlib4/blo... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 139,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 456,
"lean_code_chars": 47,
"natural_language_chars": 409,
"lean_code_ratio": 0.1031,
"line_count": 7,
"imports_count": 0,
"declarations_count": 54,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Fintype.EquivFin.card_eq_one_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Fintype.EquivFin)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem card_eq_one_iff : card α ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Fintype.EquivFin).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem card_eq_one_iff : ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Fintype/EquivFin.lean",
"module": "Mathlib.Data.Fintype.EquivFin",
"declaration": "Mathlib.Data.Fintype.EquivFin.card_eq_one_iff",
"span": "L211-L218",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 140,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 464,
"lean_code_chars": 59,
"natural_language_chars": 405,
"lean_code_ratio": 0.1272,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Polynomial.Basic.ext | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Polynomial.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem ext {p q : R[X]} : (∀ ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Polynomial.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem ext {p q : R[X]... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Polynomial/Basic.lean",
"module": "Mathlib.Algebra.Polynomial.Basic",
"declaration": "Mathlib.Algebra.Polynomial.Basic.ext",
"span": "L713-L717",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e93... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 143,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 472,
"lean_code_chars": 64,
"natural_language_chars": 408,
"lean_code_ratio": 0.1356,
"line_count": 7,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.Ideal.Height.Ideal | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Height)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma Ideal.exists_ltSeries_len... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Height).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma Ideal.exists_ltSer... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/Ideal/Height.lean",
"module": "Mathlib.RingTheory.Ideal.Height",
"declaration": "Mathlib.RingTheory.Ideal.Height.Ideal",
"span": "L79-L87",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f9... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 174,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 603,
"lean_code_chars": 196,
"natural_language_chars": 407,
"lean_code_ratio": 0.325,
"line_count": 9,
"imports_count": 0,
"declarations_count": 63,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.List.TakeDrop.takeI_left' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.List.TakeDrop)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem takeI_left' {l₁ l₂ : List α}... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.List.TakeDrop).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem takeI_left' {l₁ l₂ : ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/List/TakeDrop.lean",
"module": "Mathlib.Data.List.TakeDrop",
"declaration": "Mathlib.Data.List.TakeDrop.takeI_left'",
"span": "L113-L120",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd2553... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 155,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 489,
"lean_code_chars": 87,
"natural_language_chars": 402,
"lean_code_ratio": 0.1779,
"line_count": 7,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.InnerProductSpace.LinearPMap.adjointDomainMkCLMExtend_apply | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.LinearPMap)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem adjointDo... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.LinearPMap).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem ad... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/InnerProductSpace/LinearPMap.lean",
"module": "Mathlib.Analysis.InnerProductSpace.LinearPMap",
"declaration": "Mathlib.Analysis.InnerProductSpace.LinearPMap.adjointDomainMkCLMExtend_apply",
"span": "L118-L130",
"source... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 181,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 589,
"lean_code_chars": 168,
"natural_language_chars": 421,
"lean_code_ratio": 0.2852,
"line_count": 8,
"imports_count": 0,
"declarations_count": 66,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.NNReal.Defs.mul_lt_of_lt_div | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.NNReal.Defs)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem mul_lt_of_lt_div {a b r : ℝ≥0}... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.NNReal.Defs).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem mul_lt_of_lt_div {a b r... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/NNReal/Defs.lean",
"module": "Mathlib.Data.NNReal.Defs",
"declaration": "Mathlib.Data.NNReal.Defs.mul_lt_of_lt_div",
"span": "L758-L760",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 145,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 467,
"lean_code_chars": 67,
"natural_language_chars": 400,
"lean_code_ratio": 0.1435,
"line_count": 7,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Order.Monoid.Unbundled.OrderDual.mulLeftReflectLE | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Monoid.Unbundled.OrderDual)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ninstance mulLe... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Monoid.Unbundled.OrderDual).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
instanc... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Order/Monoid/Unbundled/OrderDual.lean",
"module": "Mathlib.Algebra.Order.Monoid.Unbundled.OrderDual",
"declaration": "Mathlib.Algebra.Order.Monoid.Unbundled.OrderDual.mulLeftReflectLE",
"span": "L24-L26",
"source_url": ... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 155,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 513,
"lean_code_chars": 89,
"natural_language_chars": 424,
"lean_code_ratio": 0.1735,
"line_count": 7,
"imports_count": 0,
"declarations_count": 53,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.UniformSpace.Equiv.changeInv | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.UniformSpace.Equiv)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ndef changeInv (f : α ≃ᵤ β) ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.UniformSpace.Equiv).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
def changeInv (f : α... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/UniformSpace/Equiv.lean",
"module": "Mathlib.Topology.UniformSpace.Equiv",
"declaration": "Mathlib.Topology.UniformSpace.Equiv.changeInv",
"span": "L163-L174",
"source_url": "https://github.com/leanprover-community/mat... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 153,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 492,
"lean_code_chars": 81,
"natural_language_chars": 411,
"lean_code_ratio": 0.1646,
"line_count": 7,
"imports_count": 0,
"declarations_count": 54,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.NumberTheory.NumberField.Discriminant.Different.discr_dvd_discr | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.NumberField.Discriminant.Different)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.NumberField.Discriminant.Different).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/NumberTheory/NumberField/Discriminant/Different.lean",
"module": "Mathlib.NumberTheory.NumberField.Discriminant.Different",
"declaration": "Mathlib.NumberTheory.NumberField.Discriminant.Different.discr_dvd_discr",
"span": "L119-L... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 141,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 493,
"lean_code_chars": 62,
"natural_language_chars": 431,
"lean_code_ratio": 0.1258,
"line_count": 8,
"imports_count": 0,
"declarations_count": 55,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Finsupp.Order.subset_support_tsub | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Finsupp.Order)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem subset_support_tsub [Decidab... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Finsupp.Order).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem subset_support_tsub [... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Finsupp/Order.lean",
"module": "Mathlib.Data.Finsupp.Order",
"declaration": "Mathlib.Data.Finsupp.Order.subset_support_tsub",
"span": "L278-L281",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 154,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 513,
"lean_code_chars": 111,
"natural_language_chars": 402,
"lean_code_ratio": 0.2164,
"line_count": 8,
"imports_count": 0,
"declarations_count": 56,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.Filter.AtTopBot.CountablyGenerated.subseq_tendsto_of_neBot | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Filter.AtTopBot.CountablyGenerated)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem subseq... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Filter.AtTopBot.CountablyGenerated).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/Filter/AtTopBot/CountablyGenerated.lean",
"module": "Mathlib.Order.Filter.AtTopBot.CountablyGenerated",
"declaration": "Mathlib.Order.Filter.AtTopBot.CountablyGenerated.subseq_tendsto_of_neBot",
"span": "L151-L160",
"sour... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 190,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 597,
"lean_code_chars": 173,
"natural_language_chars": 424,
"lean_code_ratio": 0.2898,
"line_count": 8,
"imports_count": 0,
"declarations_count": 64,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne.expMap_smul | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nt... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
``... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/NumberTheory/NumberField/CanonicalEmbedding/NormLeOne.lean",
"module": "Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne",
"declaration": "Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne.expMap_smul",
"... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 155,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 521,
"lean_code_chars": 84,
"natural_language_chars": 437,
"lean_code_ratio": 0.1612,
"line_count": 8,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Asymptotics.Lemmas.isLittleO_one_left_iff | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Asymptotics.Lemmas)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem isLittleO_one_left_... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Asymptotics.Lemmas).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem isLittleO_on... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Asymptotics/Lemmas.lean",
"module": "Mathlib.Analysis.Asymptotics.Lemmas",
"declaration": "Mathlib.Analysis.Asymptotics.Lemmas.isLittleO_one_left_iff",
"span": "L102-L110",
"source_url": "https://github.com/leanprover-... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 159,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 509,
"lean_code_chars": 98,
"natural_language_chars": 411,
"lean_code_ratio": 0.1925,
"line_count": 7,
"imports_count": 0,
"declarations_count": 61,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.Interval.Finset.SuccPred.insert_Ioc_right_eq_Ioc_succ_of_not_isMax | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Finset.SuccPred)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma insert_Ioc_right_e... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Finset.SuccPred).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma insert_Ioc_... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/Interval/Finset/SuccPred.lean",
"module": "Mathlib.Order.Interval.Finset.SuccPred",
"declaration": "Mathlib.Order.Interval.Finset.SuccPred.insert_Ioc_right_eq_Ioc_succ_of_not_isMax",
"span": "L82-L85",
"source_url": "http... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 169,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 540,
"lean_code_chars": 126,
"natural_language_chars": 414,
"lean_code_ratio": 0.2333,
"line_count": 8,
"imports_count": 0,
"declarations_count": 64,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.RingTheory.Flat.EquationalCriterion.projective_of_finitePresentation | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Flat.EquationalCriterion)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem projective_... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Flat.EquationalCriterion).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem proj... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/RingTheory/Flat/EquationalCriterion.lean",
"module": "Mathlib.RingTheory.Flat.EquationalCriterion",
"declaration": "Mathlib.RingTheory.Flat.EquationalCriterion.projective_of_finitePresentation",
"span": "L286-L290",
"source_url... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 139,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 513,
"lean_code_chars": 94,
"natural_language_chars": 419,
"lean_code_ratio": 0.1832,
"line_count": 7,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Homology.TotalComplex.d₂_eq_zero' | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.TotalComplex)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma d₂_eq_zero' (i₁ : I... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.TotalComplex).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma d₂_eq_zero' ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Homology/TotalComplex.lean",
"module": "Mathlib.Algebra.Homology.TotalComplex",
"declaration": "Mathlib.Algebra.Homology.TotalComplex.d₂_eq_zero'",
"span": "L125-L146",
"source_url": "https://github.com/leanprover-commu... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 217,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 568,
"lean_code_chars": 155,
"natural_language_chars": 413,
"lean_code_ratio": 0.2729,
"line_count": 9,
"imports_count": 0,
"declarations_count": 74,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Data.Holor.slice | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Holor)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ndef slice (x : Holor α (d :: ds)) (i : ℕ) (h... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Holor).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
def slice (x : Holor α (d :: ds)) (i ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Data/Holor.lean",
"module": "Mathlib.Data.Holor",
"declaration": "Mathlib.Data.Holor.slice",
"span": "L181-L184",
"source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mat... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 140,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 461,
"lean_code_chars": 67,
"natural_language_chars": 394,
"lean_code_ratio": 0.1453,
"line_count": 7,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Asymptotics.Defs.isBigOWith_snd_prod | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Asymptotics.Defs)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem isBigOWith_snd_prod :... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Asymptotics.Defs).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem isBigOWith_snd... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Asymptotics/Defs.lean",
"module": "Mathlib.Analysis.Asymptotics.Defs",
"declaration": "Mathlib.Analysis.Asymptotics.Defs.isBigOWith_snd_prod",
"span": "L835-L837",
"source_url": "https://github.com/leanprover-community... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 145,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 479,
"lean_code_chars": 70,
"natural_language_chars": 409,
"lean_code_ratio": 0.1461,
"line_count": 7,
"imports_count": 0,
"declarations_count": 57,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.Calculus.BumpFunction.Basic.zero_of_le_dist | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.BumpFunction.Basic)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem zero_of_le... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.BumpFunction.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem zer... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/Calculus/BumpFunction/Basic.lean",
"module": "Mathlib.Analysis.Calculus.BumpFunction.Basic",
"declaration": "Mathlib.Analysis.Calculus.BumpFunction.Basic.zero_of_le_dist",
"span": "L163-L168",
"source_url": "https://gi... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 140,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 479,
"lean_code_chars": 59,
"natural_language_chars": 420,
"lean_code_ratio": 0.1232,
"line_count": 7,
"imports_count": 0,
"declarations_count": 55,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.GroupTheory.Nilpotent.nilpotent_iff_finite_ascending_central_series | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.Nilpotent)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem nilpotent_iff_finite_asce... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.Nilpotent).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem nilpotent_iff_fini... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/GroupTheory/Nilpotent.lean",
"module": "Mathlib.GroupTheory.Nilpotent",
"declaration": "Mathlib.GroupTheory.Nilpotent.nilpotent_iff_finite_ascending_central_series",
"span": "L244-L253",
"source_url": "https://github.com/leanpr... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 167,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 549,
"lean_code_chars": 144,
"natural_language_chars": 405,
"lean_code_ratio": 0.2623,
"line_count": 8,
"imports_count": 0,
"declarations_count": 58,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Analysis.CStarAlgebra.Multiplier.algebraMap_fst | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.CStarAlgebra.Multiplier)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem algebraMap_fst... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.CStarAlgebra.Multiplier).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem algebra... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Analysis/CStarAlgebra/Multiplier.lean",
"module": "Mathlib.Analysis.CStarAlgebra.Multiplier",
"declaration": "Mathlib.Analysis.CStarAlgebra.Multiplier.algebraMap_fst",
"span": "L369-L371",
"source_url": "https://github.com/lean... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 163,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 497,
"lean_code_chars": 81,
"natural_language_chars": 416,
"lean_code_ratio": 0.163,
"line_count": 7,
"imports_count": 0,
"declarations_count": 56,
"diagnostics_count": 0,
"r... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Order.Interval.Set.Pi.image_mulSingle_Ioc | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Set.Pi)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ntheorem image_mulSingle_Ioc (i : ... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Set.Pi).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
theorem image_mulSingle_Io... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Order/Interval/Set/Pi.lean",
"module": "Mathlib.Order.Interval.Set.Pi",
"declaration": "Mathlib.Order.Interval.Set.Pi.image_mulSingle_Ioc",
"span": "L181-L184",
"source_url": "https://github.com/leanprover-community/mathlib4/bl... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 161,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 529,
"lean_code_chars": 124,
"natural_language_chars": 405,
"lean_code_ratio": 0.2344,
"line_count": 8,
"imports_count": 0,
"declarations_count": 64,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Topology.Category.DeltaGenerated.fullyFaithfulDeltaGeneratedToTop | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Category.DeltaGenerated)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\ndef fullyFaithfulDelta... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Category.DeltaGenerated).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
def fullyFaithf... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Topology/Category/DeltaGenerated.lean",
"module": "Mathlib.Topology.Category.DeltaGenerated",
"declaration": "Mathlib.Topology.Category.DeltaGenerated.fullyFaithfulDeltaGeneratedToTop",
"span": "L62-L64",
"source_url": "https:/... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 133,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 493,
"lean_code_chars": 77,
"natural_language_chars": 416,
"lean_code_ratio": 0.1562,
"line_count": 7,
"imports_count": 0,
"declarations_count": 51,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.GroupTheory.Congruence.Hom.hom_ext | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.Congruence.Hom)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nlemma hom_ext {f g : c.Quoti... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.Congruence.Hom).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
lemma hom_ext {f g : ... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/GroupTheory/Congruence/Hom.lean",
"module": "Mathlib.GroupTheory.Congruence.Hom",
"declaration": "Mathlib.GroupTheory.Congruence.Hom.hom_ext",
"span": "L230-L235",
"source_url": "https://github.com/leanprover-community/mathlib4... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 150,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 490,
"lean_code_chars": 80,
"natural_language_chars": 410,
"lean_code_ratio": 0.1633,
"line_count": 7,
"imports_count": 0,
"declarations_count": 59,
"diagnostics_count": 0,
"... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
A-Mathlib.Algebra.Field.MinimalAxioms.Field | A | [
{
"role": "system",
"content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Field.MinimalAxioms)."
},
{
"role": "user",
"content": "Complete the following proof.\n\n```lean\nabbrev Field.ofMinimalAxiom... | <s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Field.MinimalAxioms).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof.
```lean
abbrev Field.ofMinim... | {
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"file": "Mathlib/Algebra/Field/MinimalAxioms.lean",
"module": "Mathlib.Algebra.Field.MinimalAxioms",
"declaration": "Mathlib.Algebra.Field.MinimalAxioms.Field",
"span": "L30-L50",
"source_url": "https://github.com/leanprover-community/mathlib4/... | {
"project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7",
"dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a",
"mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6",
"lean_toolchain": "leanprover/lean4:v4.29.1",
"leandojo_version": "1.0.9",
"python_version": "3.11.15",
"tokenizer_id... | {
"input_tokens": 383,
"tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json",
"approximate_tokens": false,
"chars": 967,
"lean_code_chars": 556,
"natural_language_chars": 411,
"lean_code_ratio": 0.575,
"line_count": 18,
"imports_count": 0,
"declarations_count": 136,
"diagnostics_count": 0,
... | {
"accepted_for_ptq_calibration": true,
"reason_codes": [],
"decision_layer": "deterministic",
"soft_review_flags": [],
"soft_review_applied_to_decision": false
} |
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