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Theorems · Theorem · functional analysis

ContinuousLinearMap.add_apply

Deprecated since 2026-05-20Use add_apply instead.

∀ {F : Type u_1} {α : outParam (Type u_2)} {β : outParam (Type u_3)} {inst : FunLike F α β} {inst_1 : Add β}
  {inst_2 : Add F} [self : IsAddApply F α β] (f g : F) (x : α), (f + g) x = f x + g x

Alias of add_apply.

Defined in
Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic
Cited by
0 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
IsAddApply
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DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeadd_apply · cited by 154add_applyIsAddApply · cited by 75IsAddApplyContinuousLinearMap.add_applyCITED BYCITES

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