Theorems · Theorem · functional analysis
CStarAlgebra.convexOn_ringInverse_algebraMap_add
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {t : ℝ},
0 < t → ConvexOn ℝ (Set.Ici 0) fun x => Ring.inverse ((algebraMap ℝ A) t + x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 325 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- RingHomstatement · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Algebra.algebraMapstatement and proof · cited by 4,706
- zero_addproof · cited by 2,366
- add_commproof · cited by 1,535
- LinearEquiv.symmproof · cited by 1,461
Cited by1
Results whose statement or proof uses this declaration.
- CFC.concaveOn_cfc_rpowIntegrand₀₁proof · cited by 1