Theorems · Theorem · functional analysis
DoubleCentralizer.coe_fst
∀ {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 : A),
(↑𝕜 a).toProd.1 = (ContinuousLinearMap.mul 𝕜 A) a- Defined in
- Mathlib.Analysis.CStarAlgebra.Multiplier
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalNormedRingstatement and proof · cited by 231
- ContinuousLinearMap.mulstatement · cited by 63
- DoubleCentralizer.toProdstatement · cited by 49
- DoubleCentralizer.coestatement · cited by 4
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