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Theorems · Theorem · functional analysis

UniformConvergenceCLM.smul_apply

Deprecated since 2026-06-10Use smul_apply instead.

∀ {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

Alias of smul_apply.

Defined in
Mathlib.Topology.Algebra.Module.Spaces.UniformConvergenceCLM
Cited by
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Foundations
Depth 6 from the axioms · uses no axioms
Assumes
IsSMulApply
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DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikesmul_apply · cited by 229smul_applyIsSMulApply · cited by 48IsSMulApplyUniformConvergenceCLM.smul_ap…CITED BYCITES

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