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Theorems · Theorem · group theory

iterate_map_one

∀ {M : Type u_10} {F : Type u_11} [inst : One M] [inst_1 : FunLike F M M] [OneHomClass F M M] (f : F) (n : ℕ),
  (⇑f)^[n] 1 = 1
Defined in
Mathlib.Algebra.Group.Hom.Defs
Cited by
3 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
OneFunLikeOneHomClass
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Around this declaration

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

PerfectClosure.natCast · cited by 2PerfectClosure.natCastSkewPolynomial.X_mul · cited by 2SkewPolynomial.X_mulSkewPolynomial.monomial_mul_X · cited by 2SkewPolynomial.monomial_m…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikemap_one · cited by 861map_oneNat.iterate · cited by 740Nat.iterateOneHomClass · cited by 38OneHomClassFunction.iterate_fixed · cited by 9Function.iterate_fixediterate_map_oneCITED BYCITES

Cites6

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Cited by3

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