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Theorems · Theorem · functional analysis

Unitary.joined

∀ {A : Type u_1} [inst : CStarAlgebra A] (u v : ↥(unitary A)), ‖↑v - ↑u‖ < 2 → Joined u v

Two unitary elements u and v in a unital C⋆-algebra are joined by a path if the distance between them is less than 2.

Defined in
Mathlib.Analysis.CStarAlgebra.Unitary.Connected
Cited by
0 results in Mathlib
Foundations
Depth 319 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CStarAlgebra

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