Theorems · Theorem · general algebraic systems
IsPowApply.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- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- IsPowApply
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- IsPowApplystatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- pow_applyproof · cited by 1