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Theorems · Theorem · functional analysis

DoubleCentralizer.add_toProd

∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NonUnitalNormedRing A]
  [inst_2 : NormedSpace 𝕜 A] [inst_3 : SMulCommClass 𝕜 A A] [inst_4 : IsScalarTower 𝕜 A A]
  (a b : DoubleCentralizer 𝕜 A), (a + b).toProd = a.toProd + b.toProd
Defined in
Mathlib.Analysis.CStarAlgebra.Multiplier
Cited by
0 results in Mathlib
Foundations
Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNonUnitalNormedRingNormedSpaceSMulCommClassIsScalarTower
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RingHom.id · cited by 18349RingHom.idNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousLinearMap · cited by 5352ContinuousLinearMapIsScalarTower · cited by 3896IsScalarTowerSMulCommClass · cited by 1927SMulCommClassNonUnitalNormedRing · cited by 231NonUnitalNormedRingDoubleCentralizer · cited by 59DoubleCentralizerDoubleCentralizer.toProd · cited by 49DoubleCentralizer.toProdDoubleCentralizer.add_toProdCITED BYCITES

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