Theorems · Theorem · functional analysis
CStarAlgebra.rpow_neg_one_le_one
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A] {a : A},
1 ≤ a → a ^ (-1) ≤ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 328 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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 · cited by 5,565
- LE.le.transproof · cited by 3,151
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- StarOrderedRingstatement and proof · cited by 587
- zero_le_oneproof · cited by 316
- CStarAlgebrastatement and proof · cited by 123
- IsStarNormalstatement · cited by 117
- CFC.rpow_neg_one_eq_invproof · cited by 4
- CStarAlgebra.isUnit_of_leproof · cited by 3
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