Theorems · Theorem · functional analysis

selfAdjoint.unitarySelfAddISMul.congr_simp

∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A]
  (a a_1 : ↥(selfAdjoint A)) (e_a : a = a_1) (ha_norm : ‖a‖ ≤ 1),
  selfAdjoint.unitarySelfAddISMul a ha_norm = selfAdjoint.unitarySelfAddISMul a_1 ⋯

Defined in: Mathlib.Analysis.CStarAlgebra.Unitary.Span
Cited by: 0 results in Mathlib
Foundations: Depth 324 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CStarAlgebra PartialOrder StarOrderedRing

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Realstatement · cited by 25,697
PartialOrderstatement and proof · cited by 6,410
Norm.normstatement and proof · cited by 5,413
AddSubgroupstatement · cited by 3,232
Submonoidstatement · cited by 3,086
StarOrderedRingstatement and proof · cited by 587
unitarystatement · cited by 207
selfAdjointstatement and proof · cited by 135
CStarAlgebrastatement and proof · cited by 123
selfAdjoint.unitarySelfAddISMulstatement and proof · cited by 6

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.