Theorems · Theorem · functional analysis
DoubleCentralizer.toProdMulOpposite_injective
∀ {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],
Function.Injective DoubleCentralizer.toProdMulOpposite- Defined in
- Mathlib.Analysis.CStarAlgebra.Multiplier
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- MulOppositestatement · cited by 1,135
- NonUnitalNormedRingstatement and proof · cited by 231
- DoubleCentralizerstatement and proof · cited by 59
- DoubleCentralizer.toProdproof · cited by 49
- MulOpposite.op_injectiveproof · cited by 37
- DoubleCentralizer.toProdMulOppositestatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- DoubleCentralizer.isUniformEmbedding_toProdMulOppositeproof · cited by 0