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Theorems Β· Definition Β· functional analysis

DoubleCentralizer.mk.noConfusion

{π•œ : Type u} β†’
  {A : Type v} β†’
    {inst : NontriviallyNormedField π•œ} β†’
      {inst_1 : NonUnitalNormedRing A} β†’
        {inst_2 : NormedSpace π•œ A} β†’
          {inst_3 : SMulCommClass π•œ A A} β†’
            {inst_4 : IsScalarTower π•œ A A} β†’
              {P : Sort u_1} β†’
                {toProd : (A β†’L[π•œ] A) Γ— (A β†’L[π•œ] A)} β†’
                  {central : βˆ€ (x y : A), toProd.2 x * y = x * toProd.1 y} β†’
                    {toProd' : (A β†’L[π•œ] A) Γ— (A β†’L[π•œ] A)} β†’
                      {central' : βˆ€ (x y : A), toProd'.2 x * y = x * toProd'.1 y} β†’
                        { toProd := toProd, central := central } = { toProd := toProd', central := central' } β†’
                          (toProd ≍ toProd' β†’ P) β†’ P
Defined in
Mathlib.Analysis.CStarAlgebra.Multiplier
Cited by
1 results in Mathlib
Foundations
Depth 103 from the axioms Β· uses propext, Classical.choice, Quot.sound
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Around this declaration

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

DoubleCentralizer.mk.inj Β· cited by 1mk.injDFunLike.coe Β· cited by 62936DFunLike.coeRingHom.id Β· cited by 18349RingHom.idNormedSpace Β· cited by 12499NormedSpaceNontriviallyNormedField Β· cited by 8742NontriviallyNormedFieldContinuousLinearMap Β· cited by 5352ContinuousLinearMapIsScalarTower Β· cited by 3896IsScalarTowerSMulCommClass Β· cited by 1927SMulCommClassNonUnitalNormedRing Β· cited by 231NonUnitalNormedRingDoubleCentralizer Β· cited by 59DoubleCentralizerDoubleCentralizer.noConfusion Β· cited by 0DoubleCentralizer.noConfu…mk.noConfusionCITED BYCITES

Cites10

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Cited by1

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