Theorems · Theorem · functional analysis
Filter.IsIncreasingApproximateUnit.closedBall_mem
∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] {l : Filter A},
l.IsIncreasingApproximateUnit → Metric.closedBall 0 1 ∈ l- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Filterstatement and proof · cited by 8,121
- PartialOrderstatement and proof · cited by 6,410
- Set.ofPredproof · cited by 6,101
- Metric.closedBallstatement · cited by 704
- dist_zero_rightproof · cited by 172
- NonUnitalCStarAlgebrastatement and proof · cited by 149
- Filter.IsIncreasingApproximateUnitstatement and proof · cited by 9
- Filter.IsIncreasingApproximateUnit.eventually_normproof · cited by 2
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