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Theorems · Theorem · functional analysis

Seminorm.comp_id

∀ {𝕜 : Type u_3} {E : Type u_7} [inst : SeminormedRing 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  (p : Seminorm 𝕜 E), p.comp LinearMap.id = p
Defined in
Mathlib.Analysis.Seminorm
Cited by
1 results in Mathlib
Foundations
Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedRingAddCommGroupModule
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Around this declaration

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

WithSeminorms.congr_equiv · cited by 4WithSeminorms.congr_equivModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommGroup · cited by 12871AddCommGroupLinearMap.id · cited by 625LinearMap.idSeminormedRing · cited by 446SeminormedRingSeminorm · cited by 272SeminormSeminorm.comp · cited by 53Seminorm.compSeminorm.ext · cited by 17Seminorm.extSeminorm.comp_idCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

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