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Theorems · Theorem · functional analysis

Seminorm.zero_apply

Deprecated since 2026-06-22Use zero_apply instead.

∀ {F : Type u_1} {α : outParam (Type u_2)} {β : outParam (Type u_3)} {inst : FunLike F α β} {inst_1 : Zero β}
  {inst_2 : Zero F} [self : IsZeroApply F α β] (x : α), 0 x = 0

Alias of zero_apply.

Defined in
Mathlib.Analysis.Seminorm
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
IsZeroApply
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

PiTensorProduct.injectiveSeminorm_le_projectiveSeminorm · cited by 1PiTensorProduct.injective…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikezero_apply · cited by 251zero_applyIsZeroApply · cited by 72IsZeroApplySeminorm.zero_applyCITED BYCITES

Cites4

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Cited by1

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