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Theorems · Theorem · group theory

AddCommute.nsmul_right

∀ {M : Type u_2} [inst : AddMonoid M] {a b : M}, AddCommute a b → ∀ (n : ℕ), AddCommute a (n • b)
Defined in
Mathlib.Algebra.Group.Commute.Defs
Cited by
4 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
AddMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddCommute.nsmul_nsmul · cited by 4AddCommute.nsmul_nsmulAddCommute.nsmul_left · cited by 3AddCommute.nsmul_leftAddOreLocalization.oreSub_nsmul · cited by 1AddOreLocalization.oreSub…AddCommute.self_nsmul · cited by 0AddCommute.self_nsmulAddMonoid · cited by 2864AddMonoidAddCommute · cited by 185AddCommuteAddSemiconjBy.nsmul_right · cited by 5AddSemiconjBy.nsmul_rightAddCommute.nsmul_rightCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.