Theorems · Theorem · functional analysis
CFC.monotoneOn_one_sub_one_add_inv
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A],
MonotoneOn (cfcₙ fun x => 1 - (1 + x)⁻¹) (Set.Ici 0)- Cited by
- 2 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.
Cites45
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement and proof · cited by 5,565
- NNRealstatement and proof · cited by 4,310
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- le_reflproof · cited by 2,061
- Set.Icistatement and proof · cited by 1,070
- add_le_addproof · cited by 666
- ne_of_gtproof · cited by 637
- StarOrderedRingstatement and proof · cited by 587
Cited by2
Results whose statement or proof uses this declaration.
- CFC.monotoneOn_one_sub_one_add_inv_realproof · cited by 1
- CStarAlgebra.directedOn_nonneg_ballproof · cited by 1