Theorems · Theorem · functional analysis
Filter.IsIncreasingApproximateUnit.eventually_isSelfAdjoint
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {l : Filter A},
l.IsIncreasingApproximateUnit → ∀ᶠ (x : A) in l, IsSelfAdjoint x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- PartialOrderstatement and proof · cited by 6,410
- Filter.Eventuallystatement · cited by 3,134
- StarOrderedRingstatement and proof · cited by 587
- IsSelfAdjointstatement · cited by 545
- Filter.Eventually.of_forallproof · cited by 526
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- Filter.Eventually.mpproof · cited by 78
- IsSelfAdjoint.of_nonnegproof · cited by 43
- Filter.IsIncreasingApproximateUnitstatement and proof · cited by 9
- Filter.IsIncreasingApproximateUnit.eventually_nonnegproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Filter.IsIncreasingApproximateUnit.eventually_star_eqproof · cited by 0