CStarAlgebra.isClosed_nonneg

∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A], IsClosed {a | 0 ≤ a}

The set of nonnegative elements in a C⋆-algebra is closed.

Defined in: Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order
Cited by: 0 results in Mathlib
Foundations: Depth 320 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NonUnitalCStarAlgebra PartialOrder StarOrderedRing

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