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
value |
|---|---|---|---|---|---|---|---|---|---|---|
valM1 : monoid_morphism val. | Proof. exact: valM_subproof. Qed. | Lemma | valM1 | 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"
] | [
"monoid_morphism",
"val"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
oneU : U | := inU (@rpred1 _ (MulClosed.clone R S _)). | Let | oneU | 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"
] | [
"clone",
"inU",
"rpred1"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulU (u1 u2 : U) | := inU (rpredM _ _ (valP u1) (valP u2)). | Let | mulU | 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"
] | [
"inU",
"rpredM",
"valP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrA : associative mulU. | Proof. by move=> x y z; apply: val_inj; rewrite !SubK mulrA. Qed. | Lemma | mulrA | 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"
] | [
"SubK",
"apply",
"mulU",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mul1r : left_id oneU mulU. | Proof. by move=> x; apply: val_inj; rewrite !SubK mul1r. Qed. | Lemma | mul1r | 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"
] | [
"SubK",
"apply",
"mulU",
"oneU",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulr1 : right_id oneU mulU. | Proof. by move=> x; apply: val_inj; rewrite !SubK mulr1. Qed. | Lemma | mulr1 | 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"
] | [
"SubK",
"apply",
"mulU",
"oneU",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrDl : left_distributive mulU +%R. | Proof.
by move=> x y z; apply: val_inj; rewrite !(SubK, raddfD)/= !SubK mulrDl.
Qed. | Lemma | mulrDl | 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"
] | [
"SubK",
"apply",
"mulU",
"raddfD",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrDr : right_distributive mulU +%R. | Proof.
by move=> x y z; apply: val_inj; rewrite !(SubK, raddfD)/= !SubK mulrDr.
Qed. | Lemma | mulrDr | 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"
] | [
"SubK",
"apply",
"mulU",
"raddfD",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mul0r : left_zero 0%R mulU. | Proof. by move=> x; apply: val_inj; rewrite SubK val0 mul0r. Qed. | Lemma | mul0r | 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"
] | [
"SubK",
"apply",
"mulU",
"val0",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulr0 : right_zero 0%R mulU. | Proof. by move=> x; apply: val_inj; rewrite SubK val0 mulr0. Qed. | Lemma | mulr0 | 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"
] | [
"SubK",
"apply",
"mulU",
"val0",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
valM : monoid_morphism (val : U -> R). | Proof. by split=> [|x y] /=; rewrite !SubK. Qed. | Lemma | valM | 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"
] | [
"SubK",
"monoid_morphism",
"split",
"val"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
oner_neq0 : (1 : U) != 0. | Proof. by rewrite -(inj_eq val_inj) rmorph0 rmorph1 oner_neq0. Qed. | Lemma | oner_neq0 | 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"
] | [
"inj_eq",
"rmorph0",
"rmorph1",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
mulrC : @commutative U U *%R. | Proof. by move=> x y; apply: val_inj; rewrite !rmorphM mulrC. Qed. | Lemma | 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"
] | [
"apply",
"rmorphM",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
val | := (val : W -> V). | Notation | val | 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 | |
inW v Sv : W | := Sub v Sv. | Let | inW | 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"
] | [
"Sub",
"Sv"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scaleW a (w : W) | := inW (rpredZ a _ (valP w)). | Let | scaleW | 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"
] | [
"inW",
"rpredZ",
"valP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scalerA' a b v : scaleW a (scaleW b v) = scaleW (a * b) v. | Proof. by apply: val_inj; rewrite !SubK scalerA. Qed. | Lemma | scalerA' | 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"
] | [
"SubK",
"apply",
"scaleW",
"scalerA",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scale0r v : scaleW 0 v = 0. | Proof. by apply: val_inj; rewrite SubK scale0r raddf0. Qed. | Lemma | scale0r | 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"
] | [
"SubK",
"apply",
"raddf0",
"scaleW",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scale1r : left_id 1 scaleW. | Proof. by move=> x; apply: val_inj; rewrite SubK scale1r. Qed. | Lemma | scale1r | 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"
] | [
"SubK",
"apply",
"scaleW",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scalerDr : right_distributive scaleW +%R. | Proof. by move=> a u v; apply: val_inj; rewrite SubK !raddfD/= !SubK. Qed. | Lemma | scalerDr | 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"
] | [
"SubK",
"apply",
"raddfD",
"scaleW",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scalerDl v : {morph scaleW^~ v : a b / a + b}. | Proof. by move=> a b; apply: val_inj; rewrite raddfD/= !SubK scalerDl. Qed. | Lemma | scalerDl | 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"
] | [
"SubK",
"apply",
"raddfD",
"scaleW",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
valZ : scalable (val : W -> _). | Proof. by move=> k w; rewrite SubK. Qed. | Fact | valZ | 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"
] | [
"SubK",
"scalable",
"val"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scalerAl (a : R) (u v : W) : a *: (u * v) = a *: u * v. | Proof. by apply: val_inj; rewrite !(linearZ, rmorphM) /= linearZ scalerAl. Qed. | Lemma | scalerAl | 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"
] | [
"apply",
"linearZ",
"rmorphM",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
scalerAr (k : R) (x y : W) : k *: (x * y) = x * (k *: y). | Proof. by apply: val_inj; rewrite !(linearZ, rmorphM)/= linearZ scalerAr. Qed. | Lemma | scalerAr | 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"
] | [
"apply",
"linearZ",
"rmorphM",
"val_inj"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubNmodule_isSubNzSemiRing' 'of' U 'by' <: ]" | :=
(SubNmodule_isSubNzSemiRing.Build _ _ U (@rpred1M _ _))
(format "[ 'SubNmodule_isSubNzSemiRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubNmodule_isSubNzSemiRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"rpred1M"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubNmodule_isSubPzSemiRing' 'of' U 'by' <: ]" | :=
(SubNmodule_isSubPzSemiRing.Build _ _ U (@rpred1M _ _))
(format "[ 'SubNmodule_isSubPzSemiRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubNmodule_isSubPzSemiRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"rpred1M"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubNzSemiRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubNzSemiRing.Build _ _ U (semiringClosedP _))
(format "[ 'SubChoice_isSubNzSemiRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubNzSemiRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"semiringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubSemiRing_isSubComSemiRing' 'of' U 'by' <: ]" | :=
(SubSemiRing_isSubComSemiRing.Build _ _ U)
(format "[ 'SubSemiRing_isSubComSemiRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubSemiRing_isSubComSemiRing' 'of' U 'by' <: ] | 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"
] | [
"Build"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubComNzSemiRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubComNzSemiRing.Build _ _ U (semiringClosedP _))
(format "[ 'SubChoice_isSubComNzSemiRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubComNzSemiRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"semiringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubComPzSemiRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubComPzSemiRing.Build _ _ U (semiringClosedP _))
(format "[ 'SubChoice_isSubComPzSemiRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubComPzSemiRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"semiringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubPzSemiRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubPzSemiRing.Build _ _ U (subringClosedP _))
(format "[ 'SubChoice_isSubPzSemiRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubPzSemiRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubPzRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubPzRing.Build _ _ U (subringClosedP _))
(format "[ 'SubChoice_isSubPzRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubPzRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubNzRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubNzRing.Build _ _ U (subringClosedP _))
(format "[ 'SubChoice_isSubNzRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubNzRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubComPzRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubComPzRing.Build _ _ U (subringClosedP _))
(format "[ 'SubChoice_isSubComPzRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubComPzRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubComNzRing' 'of' U 'by' <: ]" | :=
(SubChoice_isSubComNzRing.Build _ _ U (subringClosedP _))
(format "[ 'SubChoice_isSubComNzRing' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubComNzRing' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subringClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubNmodule_isSubLSemiModule' 'of' U 'by' <: ]" | :=
(SubNmodule_isSubLSemiModule.Build _ _ _ U (subsemimodClosedP _))
(format "[ 'SubNmodule_isSubLSemiModule' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubNmodule_isSubLSemiModule' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemimodClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubLSemiModule' 'of' U 'by' <: ]" | :=
(SubChoice_isSubLSemiModule.Build _ _ _ U (subsemimodClosedP _))
(format "[ 'SubChoice_isSubLSemiModule' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubLSemiModule' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemimodClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubLmodule' 'of' U 'by' <: ]" | :=
(SubChoice_isSubLmodule.Build _ _ _ U (subsemimodClosedP _))
(format "[ 'SubChoice_isSubLmodule' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubLmodule' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemimodClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubSemiRing_SubLSemiModule_isSubLSemiAlgebra' 'of' U 'by' <: ]" | :=
(SubSemiRing_SubLSemiModule_isSubLSemiAlgebra.Build _ _ _ U)
(format "[ 'SubSemiRing_SubLSemiModule_isSubLSemiAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubSemiRing_SubLSemiModule_isSubLSemiAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubRing_SubLmodule_isSubLalgebra' 'of' U 'by' <: ]" | :=
(SubRing_SubLmodule_isSubLalgebra.Build _ _ _ U)
(format "[ 'SubRing_SubLmodule_isSubLalgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubRing_SubLmodule_isSubLalgebra' 'of' U 'by' <: ] | 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"
] | [
"Build"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubLSemiAlgebra_isSubSemiAlgebra' 'of' U 'by' <: ]" | :=
(SubLSemiAlgebra_isSubSemiAlgebra.Build _ _ _ U)
(format "[ 'SubLSemiAlgebra_isSubSemiAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubLSemiAlgebra_isSubSemiAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubPzLSemiAlgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubPzLSemiAlgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubPzLSemiAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubPzLSemiAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubNzLSemiAlgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubNzLSemiAlgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubNzLSemiAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubNzLSemiAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubPzLalgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubPzLalgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubPzLalgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubPzLalgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubNzLalgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubNzLalgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubNzLalgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubNzLalgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubPzSemiAlgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubPzSemiAlgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubPzSemiAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubPzSemiAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubNzSemiAlgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubNzSemiAlgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubNzSemiAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubNzSemiAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubPzAlgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubPzAlgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubPzAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubPzAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'SubChoice_isSubNzAlgebra' 'of' U 'by' <: ]" | :=
(SubChoice_isSubNzAlgebra.Build _ _ _ U (subsemialgClosedP _))
(format "[ 'SubChoice_isSubNzAlgebra' 'of' U 'by' <: ]")
: form_scope. | Notation | [ 'SubChoice_isSubNzAlgebra' 'of' U 'by' <: ] | 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"
] | [
"Build",
"subsemialgClosedP"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
addrA | := @addrA. | Definition | addrA | 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 | |
addrC | := @addrC. | Definition | addrC | 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 | |
add0r | := @add0r. | Definition | add0r | 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 | |
addNr | := @addNr. | Definition | addNr | 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 | |
addr0 | := addr0. | Definition | addr0 | 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 | |
addrN | := addrN. | Definition | addrN | 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 | |
subrr | := subrr. | Definition | subrr | 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 | |
addrCA | := addrCA. | Definition | addrCA | 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 | |
addrAC | := addrAC. | Definition | addrAC | 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 | |
addrACA | := addrACA. | Definition | addrACA | 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 | := addKr. | Definition | addKr | 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 | |
addNKr | := addNKr. | Definition | addNKr | 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 | := addrK. | Definition | addrK | 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 | |
addrNK | := addrNK. | Definition | addrNK | 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 | |
subrK | := subrK. | Definition | subrK | 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 | |
subrKC | := subrKC. | Definition | subrKC | 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 | |
subKr | := subKr. | Definition | subKr | 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 | |
addrI | := @addrI. | Definition | addrI | 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 | |
addIr | := @addIr. | Definition | addIr | 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 | |
subrI | := @subrI. | Definition | subrI | 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 | |
subIr | := @subIr. | Definition | subIr | 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 | |
opprK | := @opprK. | Definition | opprK | 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_inj | := @oppr_inj. | Definition | oppr_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 | |
oppr0 | := oppr0. | Definition | oppr0 | 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_eq0 | := oppr_eq0. | Definition | oppr_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 | |
opprD | := opprD. | Definition | opprD | 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 | |
opprB | := opprB. | Definition | opprB | 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 | |
addrKA | := addrKA. | Definition | addrKA | 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 | |
subrKA | := subrKA. | Definition | subrKA | 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 | |
subr0 | := subr0. | Definition | subr0 | 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 | |
sub0r | := sub0r. | Definition | sub0r | 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_eq | := subr_eq. | Definition | subr_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 | |
addr0_eq | := addr0_eq. | Definition | addr0_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 | |
subr0_eq | := subr0_eq. | Definition | subr0_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 | |
subr_eq0 | := subr_eq0. | Definition | subr_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 | |
addr_eq0 | := addr_eq0. | Definition | addr_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 | |
eqr_opp | := eqr_opp. | Definition | eqr_opp | 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 | |
eqr_oppLR | := eqr_oppLR. | Definition | eqr_oppLR | 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 | |
sumrN | := sumrN. | Definition | sumrN | 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 | |
sumrB | := sumrB. | Definition | sumrB | 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 | |
sumrMnl | := sumrMnl. | Definition | sumrMnl | 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 | |
sumrMnr | := sumrMnr. | Definition | sumrMnr | 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 | |
sumr_const | := sumr_const. | Definition | sumr_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 | |
sumr_const_nat | := sumr_const_nat. | Definition | sumr_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 | |
telescope_sumr | := telescope_sumr. | Definition | telescope_sumr | 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 | |
telescope_sumr_eq | := @telescope_sumr_eq. | Definition | telescope_sumr_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 | |
mulr0n | := mulr0n. | Definition | mulr0n | 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 | |
mulr1n | := mulr1n. | Definition | mulr1n | 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 | |
mulr2n | := mulr2n. | Definition | mulr2n | 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 | |
mulrS | := mulrS. | Definition | mulrS | 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 | |
mulrSr | := mulrSr. | Definition | mulrSr | 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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