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Theorems · Theorem · group theory

CommMagma.mul_comm

∀ {G : Type u} [self : CommMagma G] (a b : G), a * b = b * a

Multiplication is commutative in a commutative multiplicative magma.

Defined in
Mathlib.Algebra.Group.Defs
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CommMagma
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Around this declaration

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mul_comm · cited by 2262mul_commFunction.Injective.nonAssocCommSemiring · cited by 0Injective.nonAssocCommSem…Function.Surjective.nonAssocCommSemiring · cited by 0Surjective.nonAssocCommSe…Function.Injective.commSemigroup · cited by 0Injective.commSemigroupFunction.Injective.nonUnitalNonAssocCommSemiring · cited by 0Injective.nonUnitalNonAss…Function.Surjective.nonUnitalNonAssocCommSemiring · cited by 0Surjective.nonUnitalNonAs…Function.Surjective.commSemigroup · cited by 0Surjective.commSemigroupCommMagma · cited by 57CommMagmaCommMagma.mul_commCITED BYCITES

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Cited by7

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