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Theorems · Theorem · group theory

AddCommSemigroup.add_comm

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

Addition is commutative in a commutative additive magma.

Defined in
Mathlib.Algebra.Group.Defs
Cited by
0 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
AddCommSemigroup
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Function.Injective.addCommMonoid · cited by 0Injective.addCommMonoidFunction.Injective.subtractionCommMonoid · cited by 0Injective.subtractionComm…Function.Surjective.addCommMonoid · cited by 0Surjective.addCommMonoidAddCommSemigroup · cited by 178AddCommSemigroupAddCommSemigroup.add_commCITED BYCITES

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