Unitization.LE.le.of_inr

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

Alias of the forward direction of Unitization.inr_nonneg_iff.

Defined in: Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.Order
Cited by: 1 results in Mathlib
Foundations: Depth 319 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NonUnitalCStarAlgebra PartialOrder StarOrderedRing

Around this declaration

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

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

Results whose statement or proof uses this declaration.