Theorems · Theorem · group theory
iterate_map_zsmul
∀ {M : Type u_10} {F : Type u_11} [inst : AddGroup M] [inst_1 : FunLike F M M] [AddMonoidHomClass F M M] (f : F) (n : ℕ)
(x : M) (k : ℤ), (⇑f)^[n] (k • x) = k • (⇑f)^[n] x- Defined in
- Mathlib.Algebra.Group.Hom.Defs
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- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- Nat.iteratestatement · cited by 740
- AddMonoidHomClassstatement and proof · cited by 252
- map_zsmulproof · cited by 18
- Function.Commute.iterate_leftproof · cited by 9
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