Theorems · Theorem · functional analysis
IsStarProjection.commute_of_le
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {p q : A},
IsStarProjection p → IsStarProjection q → p ≤ q → Commute p q- Defined in
- Mathlib.Analysis.CStarAlgebra.Projection
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 323 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Commutestatement · cited by 639
- StarOrderedRingstatement and proof · cited by 587
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- IsStarProjectionstatement and proof · cited by 64
- commute_iff_eqproof · cited by 20
- IsStarProjection.le_iff_mul_eq_leftproof · cited by 1
- IsStarProjection.le_iff_mul_eq_rightproof · cited by 1
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