Theorems · Theorem · group theory
iterate_map_add
∀ {M : Type u_10} {F : Type u_11} [inst : Add M] [inst_1 : FunLike F M M] [AddHomClass F M M] (f : F) (n : ℕ) (x y : M),
(⇑f)^[n] (x + y) = (⇑f)^[n] x + (⇑f)^[n] y- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- AddFunLikeAddHomClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- map_addproof · cited by 964
- Nat.iteratestatement · cited by 740
- AddHomClassstatement and proof · cited by 65
- Function.Semiconj₂.iterateproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- LinearMap.tendsto_birkhoffAverage_of_ker_subset_closureproof · cited by 1
- bernsteinPolynomial.linearIndependent_auxproof · cited by 1
- SkewPolynomial.X_pow_mulproof · cited by 1
- AddMonoidHom.preErgodic_of_dense_iUnion_preimage_zeroproof · cited by 1
- vadd_eq_self_of_preimage_zsmul_eq_selfproof · cited by 1