Theorems · Theorem · functional analysis
Unitary.joined
∀ {A : Type u_1} [inst : CStarAlgebra A] (u v : ↥(unitary A)), ‖↑v - ↑u‖ < 2 → Joined u vTwo unitary elements u and v in a unital C⋆-algebra are joined by a path if the
distance between them is less than 2.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 319 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CStarAlgebra
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Submonoidstatement · cited by 3,086
- unitarystatement and proof · cited by 207
- CStarAlgebrastatement and proof · cited by 123
- Joinedstatement · cited by 29
- Unitary.pathproof · cited by 4
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