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Theorems · Theorem · group theory

AddCommute.add_nsmul

∀ {M : Type u_2} [inst : AddMonoid M] {a b : M}, AddCommute a b → ∀ (n : ℕ), n • (a + b) = n • a + n • b
Defined in
Mathlib.Algebra.Group.Commute.Defs
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
AddMonoid
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Around this declaration

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

AddCommute.zsmul_add · cited by 1AddCommute.zsmul_addEven.nsmul_right · cited by 0Even.nsmul_rightAddMonoid · cited by 2864AddMonoidAddCommute · cited by 185AddCommuteAddCommute.add_nsmulCITED BYCITES

Cites2

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Cited by2

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