Theorems · Theorem · group theory
AddCommGroup.add_comm
∀ {G : Type u} [self : AddCommGroup 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
- AddCommGroup
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.
- AddCommGroupstatement and proof · cited by 12,871
Cited by8
Results whose statement or proof uses this declaration.
- NonUnitalCommCStarAlgebra.toStarRingstatement · cited by 2
- NonUnitalCStarAlgebra.mk.noConfusionstatement · cited by 0
- NonUnitalCommCStarAlgebra.toStarModulestatement · cited by 0
- NonUnitalCStarAlgebra.recOnstatement · cited by 0
- NonUnitalCommCStarAlgebra.mk.noConfusionstatement · cited by 0
- NonUnitalCommCStarAlgebra.casesOnstatement · cited by 0
- NonUnitalCommCStarAlgebra.recOnstatement · cited by 0
- NonUnitalCStarAlgebra.casesOnstatement · cited by 0