Mathlib Map

Theorems · Theorem · general algebraic systems

IsSMulApply.smul_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 : SMul M β} {inst_2 : SMul M F} [self : IsSMulApply M F α β] (f : F) (r : M) (x : α), (r • f) x = r • f x
Defined in
Mathlib.Data.FunLike.IsApply
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
IsSMulApply
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

smul_apply · cited by 229smul_applyDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeIsSMulApply · cited by 48IsSMulApplyIsSMulApply.smul_applyCITED BYCITES

Cites3

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Cited by1

Results whose statement or proof uses this declaration.