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Theorems · Theorem · group theory

zsmulAddGroupHom_apply

∀ {α : Type u_1} [inst : SubtractionCommMonoid α] (n : ℤ) (x : α), (zsmulAddGroupHom n) x = n • x
Defined in
Mathlib.Algebra.Group.Hom.Basic
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext
Assumes
SubtractionCommMonoid
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Around this declaration

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

Multiset.sum_map_zsmul · cited by 1Multiset.sum_map_zsmulAddCircle.isAddQuotientCoveringMap_nsmul · cited by 1AddCircle.isAddQuotientCo…DFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomSubtractionCommMonoid · cited by 79SubtractionCommMonoidzsmulAddGroupHom · cited by 13zsmulAddGroupHomzsmulAddGroupHom_applyCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.