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Theorems · Theorem · functional analysis

ContinuousLinearMap.mul_apply

Deprecated since 2026-05-20Use mul_apply_eq_comp instead.

∀ {F : Type u_1} {α : outParam (Type u_2)} {inst : FunLike F α α} {inst_1 : Mul F} [self : IsMulApplyEqComp F α]
  (f g : F) (x : α), (f * g) x = f (g x)

Alias of mul_apply_eq_comp.

Defined in
Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic
Cited by
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Foundations
Depth 6 from the axioms · uses no axioms
Assumes
IsMulApplyEqComp
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DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikemul_apply_eq_comp · cited by 10mul_apply_eq_compIsMulApplyEqComp · cited by 7IsMulApplyEqCompContinuousLinearMap.mul_applyCITED BYCITES

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