Theorems · Theorem · group theory
AddCommMagma.add_comm
∀ {G : Type u} [self : AddCommMagma G] (a b : G), a + b = b + aAddition is commutative in a commutative additive magma.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- AddCommMagma
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMagmastatement and proof · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- add_commproof · cited by 1,535
- Function.Surjective.addCommSemigroupproof · cited by 0
- Function.Injective.addCommSemigroupproof · cited by 0