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Theorems · Theorem · general algebraic systems

pow_apply

∀ {M : Type u_1} {F : Type u_2} {α : outParam (Type u_3)} {β : outParam (Type u_4)} {inst : FunLike F α β}
  {inst_1 : Pow β M} {inst_2 : Pow F M} [self : IsPowApply M F α β] (f : F) (n : M) (x : α), (f ^ n) x = f x ^ n

Alias of IsPowApply.pow_apply.

Defined in
Mathlib.Data.FunLike.IsApply
Cited by
1 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
IsPowApply
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Around this declaration

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

FunLike.coe_pow · cited by 0FunLike.coe_powDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeIsPowApply · cited by 3IsPowApplyIsPowApply.pow_apply · cited by 1IsPowApply.pow_applypow_applyCITED BYCITES

Cites4

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

Cited by1

Results whose statement or proof uses this declaration.