Theorems · Theorem · functional analysis
CFC.conjugate_rpow_neg_one_half
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [inst_2 : StarOrderedRing A] (a : A),
autoParam (IsStrictlyPositive a) CFC.conjugate_rpow_neg_one_half._auto_1 → a ^ (-(1 / 2)) * a * a ^ (-(1 / 2)) = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 317 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- PartialOrderstatement and proof · cited by 6,410
- Complexstatement · cited by 5,565
- Unitsproof · cited by 2,804
- Nat.cast_oneproof · cited by 2,501
- Units.valproof · cited by 1,966
- Nat.cast_zeroproof · cited by 1,870
- StarOrderedRingstatement and proof · cited by 587
- CStarAlgebrastatement and proof · cited by 123
- IsStarNormalstatement · cited by 117
- Units.isUnitproof · cited by 116
- IsStrictlyPositivestatement and proof · cited by 75
Cited by1
Results whose statement or proof uses this declaration.
- le_iff_norm_sqrt_mul_rpowproof · cited by 1