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Theorems · Theorem · functional analysis

LinearIsometry.inr_apply

∀ (𝕜 : Type u_9) [inst : NontriviallyNormedField 𝕜] (E : Type u_10) (F : Type u_11) [inst_1 : SeminormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [inst_3 : SeminormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (y : F),
  (LinearIsometry.inr 𝕜 E F) y = (0, y)
Defined in
Mathlib.Analysis.Normed.Operator.NormedSpace
Cited by
0 results in Mathlib
Foundations
Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldSeminormedAddCommGroupNormedSpaceSeminormedAddCommGroupNormedSpace
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupLinearIsometry · cited by 194LinearIsometryLinearIsometry.inr · cited by 3LinearIsometry.inrLinearIsometry.inr_applyCITED BYCITES

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