Theorems · Theorem · functional analysis
CStarAlgebra.convexOn_ringInverse
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A],
ConvexOn ℝ {a | IsStrictlyPositive a} Ring.inverse- Cited by
- 1 results in Mathlib
- Foundations
- Depth 324 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- Set.ofPredstatement and proof · cited by 6,101
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- Set.Ioiproof · cited by 1,463
- ContinuousOnproof · cited by 1,411
- le_of_ltproof · cited by 1,175
- map_addproof · cited by 964
- StarOrderedRingstatement and proof · cited by 587
Cited by1
Results whose statement or proof uses this declaration.
- CStarAlgebra.convexOn_ringInverse_algebraMap_addproof · cited by 1