Theorems · Theorem · functional analysis

ContinuousLinearMap.isometry_mul_flip

∀ (𝕜 : Type u_1) (E : Type u_2) [inst : NontriviallyNormedField 𝕜] [inst_1 : NonUnitalNormedRing E]
  [inst_2 : StarRing E] [NormedStarGroup E] [inst_4 : NormedSpace 𝕜 E] [inst_5 : IsScalarTower 𝕜 E E]
  [inst_6 : SMulCommClass 𝕜 E E] [RegularNormedAlgebra 𝕜 E], Isometry ⇑(ContinuousLinearMap.mul 𝕜 E).flip

Defined in: Mathlib.Analysis.CStarAlgebra.Unitization
Cited by: 0 results in Mathlib
Foundations: Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NontriviallyNormedField NonUnitalNormedRing StarRing NormedStarGroup NormedSpace IsScalarTower SMulCommClass RegularNormedAlgebra

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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
StarRingstatement and proof · cited by 1,686
NonUnitalNormedRingstatement and proof · cited by 231
Isometrystatement · cited by 230
ContinuousLinearMap.flipstatement and proof · cited by 128
ContinuousLinearMap.mulstatement and proof · cited by 63

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