statement stringlengths 1 4.33k | proof stringlengths 0 37.9k | type stringclasses 25
values | symbolic_name stringlengths 1 67 | library stringclasses 10
values | filename stringclasses 112
values | imports listlengths 2 138 | deps listlengths 0 64 | docstring stringclasses 798
values | source_url stringclasses 1
value | commit stringclasses 1
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|---|---|---|---|---|---|---|---|---|---|---|
exprD1n | := exprD1n. | Definition | exprD1n | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
subrX1 | := subrX1. | Definition | subrX1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
sqrrD1 | := sqrrD1. | Definition | sqrrD1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
sqrrB1 | := sqrrB1. | Definition | sqrrB1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
subr_sqr_1 | := subr_sqr_1. | Definition | subr_sqr_1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pcharf0 | := pcharf0. | Definition | pcharf0 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pcharf_prime | := pcharf_prime. | Definition | pcharf_prime | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrn_pchar | := mulrn_pchar. | Definition | mulrn_pchar | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dvdn_pcharf | := dvdn_pcharf. | Definition | dvdn_pcharf | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pcharf_eq | := pcharf_eq. | Definition | pcharf_eq | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
bin_lt_pcharf_0 | := bin_lt_pcharf_0. | Definition | bin_lt_pcharf_0 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_autE | := pFrobenius_autE. | Definition | pFrobenius_autE | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_aut0 | := pFrobenius_aut0. | Definition | pFrobenius_aut0 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_aut1 | := pFrobenius_aut1. | Definition | pFrobenius_aut1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_autD_comm | := pFrobenius_autD_comm. | Definition | pFrobenius_autD_comm | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_autMn | := pFrobenius_autMn. | Definition | pFrobenius_autMn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_aut_nat | := pFrobenius_aut_nat. | Definition | pFrobenius_aut_nat | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_autM_comm | := pFrobenius_autM_comm. | Definition | pFrobenius_autM_comm | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_autX | := pFrobenius_autX. | Definition | pFrobenius_autX | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_autN | := pFrobenius_autN. | Definition | pFrobenius_autN | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
pFrobenius_autB_comm | := pFrobenius_autB_comm. | Definition | pFrobenius_autB_comm | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
exprNn_pchar | := exprNn_pchar. | Definition | exprNn_pchar | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
addrr_pchar2 | := addrr_pchar2. | Definition | addrr_pchar2 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
oppr_pchar2 | := oppr_pchar2. | Definition | oppr_pchar2 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
addrK_pchar2 | := addrK_pchar2. | Definition | addrK_pchar2 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
addKr_pchar2 | := addKr_pchar2. | Definition | addKr_pchar2 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
iter_mulr | := iter_mulr. | Definition | iter_mulr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
iter_mulr_1 | := iter_mulr_1. | Definition | iter_mulr_1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodr_const | := prodr_const. | Definition | prodr_const | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodr_const_nat | := prodr_const_nat. | Definition | prodr_const_nat | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrC | := @mulrC. | Definition | mulrC | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrCA | := mulrCA. | Definition | mulrCA | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrAC | := mulrAC. | Definition | mulrAC | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrACA | := mulrACA. | Definition | mulrACA | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
exprMn | := exprMn. | Definition | exprMn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrXl | := prodrXl. | Definition | prodrXl | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrXr | := prodrXr. | Definition | prodrXr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrN | := prodrN. | Definition | prodrN | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrMn_const | := prodrMn_const. | Definition | prodrMn_const | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrM_comm | := prodrM_comm. | Definition | prodrM_comm | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrMl_comm | := prodrMl_comm. | Definition | prodrMl_comm | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrMr_comm | := prodrMr_comm. | Definition | prodrMr_comm | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrMl | := prodrMl. | Definition | prodrMl | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrMr | := prodrMr. | Definition | prodrMr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodrMn | := prodrMn. | Definition | prodrMn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rev_prodr | := rev_prodr. | Definition | rev_prodr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
natr_prod | := natr_prod. | Definition | natr_prod | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
prodr_undup_exp_count | := prodr_undup_exp_count. | Definition | prodr_undup_exp_count | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
exprDn | := exprDn. | Definition | exprDn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
exprBn | := exprBn. | Definition | exprBn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
subrXX | := subrXX. | Definition | subrXX | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
sqrrD | := sqrrD. | Definition | sqrrD | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
sqrrB | := sqrrB. | Definition | sqrrB | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
subr_sqr | := subr_sqr. | Definition | subr_sqr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
subr_sqrDB | := subr_sqrDB. | Definition | subr_sqrDB | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
exprDn_pchar | := exprDn_pchar. | Definition | exprDn_pchar | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred0D | := @rpred0D. | Definition | rpred0D | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred0 | := rpred0. | Definition | rpred0 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredD | := rpredD. | Definition | rpredD | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredNr | := @rpredNr. | Definition | rpredNr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred_sum | := rpred_sum. | Definition | rpred_sum | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredMn | := rpredMn. | Definition | rpredMn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredN | := rpredN. | Definition | rpredN | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredB | := rpredB. | Definition | rpredB | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredBC | := rpredBC. | Definition | rpredBC | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredMNn | := rpredMNn. | Definition | rpredMNn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredDr | := rpredDr. | Definition | rpredDr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredDl | := rpredDl. | Definition | rpredDl | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredBr | := rpredBr. | Definition | rpredBr | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredBl | := rpredBl. | Definition | rpredBl | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
zmodClosedP | := zmodClosedP. | Definition | zmodClosedP | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredMsign | := rpredMsign. | Definition | rpredMsign | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred1M | := @rpred1M. | Definition | rpred1M | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred1 | := @rpred1. | Definition | rpred1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredM | := @rpredM. | Definition | rpredM | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred_prod | := rpred_prod. | Definition | rpred_prod | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredX | := rpredX. | Definition | rpredX | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred_nat | := rpred_nat. | Definition | rpred_nat | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredN1 | := rpredN1. | Definition | rpredN1 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpred_sign | := rpred_sign. | Definition | rpred_sign | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
semiringClosedP | := semiringClosedP. | Definition | semiringClosedP | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
subringClosedP | := subringClosedP. | Definition | subringClosedP | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredZsign | := rpredZsign. | Definition | rpredZsign | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredZnat | := rpredZnat. | Definition | rpredZnat | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
submodClosedP | := submodClosedP. | Definition | submodClosedP | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
subalgClosedP | := subalgClosedP. | Definition | subalgClosedP | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
rpredZ | := @rpredZ. | Definition | rpredZ | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
nmod_morphism | := nmod_morphism. | Definition | nmod_morphism | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
zmod_morphism | := zmod_morphism. | Definition | zmod_morphism | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddf0 | := raddf0. | Definition | raddf0 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddf_eq0 | := raddf_eq0. | Definition | raddf_eq0 | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddf_inj | := raddf_inj. | Definition | raddf_inj | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddfN | := raddfN. | Definition | raddfN | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddfD | := raddfD. | Definition | raddfD | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddfB | := raddfB. | Definition | raddfB | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddf_sum | := raddf_sum. | Definition | raddf_sum | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddfMn | := raddfMn. | Definition | raddfMn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddfMNn | := raddfMNn. | Definition | raddfMNn | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddfMnat | := raddfMnat. | Definition | raddfMnat | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
raddfMsign | := raddfMsign. | Definition | raddfMsign | algebra.algebraic_hierarchy | algebra/algebraic_hierarchy/rings_modules_and_algebras.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"div",
"seq",
"choice",
"fintype",
"finfun",
"bigop",
"prime",
"binomial",
"nmodule",
"Algebra",
"Monoid.Theory",
"Scale.Exports",
"AllExports",
"ClosedExports"
] | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d |
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