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Theorems · Theorem · functional analysis

IsBoundedLinearMap.id

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Semiring 𝕜] [inst_1 : SeminormedAddCommGroup E] [inst_2 : Module 𝕜 E],
  IsBoundedLinearMap 𝕜 fun x => x
Defined in
Mathlib.Analysis.Normed.Operator.BoundedLinearMaps
Cited by
2 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSeminormedAddCommGroupModule
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Around this declaration

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

contDiff_id · cited by 40contDiff_idcontDiff_neg · cited by 8contDiff_negModule · cited by 20661ModuleSemiring · cited by 13802SemiringNorm.norm · cited by 5413Norm.normone_mul · cited by 2841one_mulSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupLinearMap.id · cited by 625LinearMap.idIsBoundedLinearMap · cited by 39IsBoundedLinearMapLinearMap.isLinear · cited by 10LinearMap.isLinearIsLinearMap.with_bound · cited by 7IsLinearMap.with_boundIsBoundedLinearMap.idCITED BYCITES

Cites9

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Cited by2

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