Theorems · Theorem · functional analysis
CStarAlgebra.spectralOrderedRing
∀ (A : Type u_1) [inst : NonUnitalCStarAlgebra A], StarOrderedRing A
The CStarAlgebra.spectralOrder on a C⋆-algebra is a StarOrderedRing.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 315 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalCStarAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realproof · cited by 25,697
- Moduleproof · cited by 20,661
- Algebraproof · cited by 11,388
- PartialOrderproof · cited by 6,410
- Complexproof · cited by 5,565
- Set.rangeproof · cited by 4,705
- NNRealproof · cited by 4,310
- IsScalarTowerproof · cited by 3,896
- SMulCommClassproof · cited by 1,927
- Star.starproof · cited by 1,082
- StarOrderedRingstatement · cited by 587
Cited by1
Results whose statement or proof uses this declaration.
- CStarAlgebra.exists_sum_four_unitaryproof · cited by 1