Theorems · Theorem · functional analysis
Filter.IsIncreasingApproximateUnit.eventually_star_eq
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {l : Filter A},
l.IsIncreasingApproximateUnit → ∀ᶠ (x : A) in l, star x = x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Star.starstatement · cited by 1,082
- StarOrderedRingstatement and proof · cited by 587
- Filter.Eventually.of_forallproof · cited by 526
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- Filter.Eventually.mpproof · cited by 78
- IsSelfAdjoint.star_eqproof · cited by 58
- Filter.IsIncreasingApproximateUnitstatement and proof · cited by 9
- Filter.IsIncreasingApproximateUnit.eventually_isSelfAdjointproof · cited by 1
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