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Theorems · Theorem · functional analysis

Filter.IsIncreasingApproximateUnit.eventually_nonneg

∀ {A : Type u_1} [inst : NonUnitalCStarAlgebra A] [inst_1 : PartialOrder A] {l : Filter A},
  l.IsIncreasingApproximateUnit → ∀ᶠ (x : A) in l, 0 ≤ x
Defined in
Mathlib.Analysis.CStarAlgebra.ApproximateUnit
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
NonUnitalCStarAlgebraPartialOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.IsIncreasingApproximateUnit.eventually_isSelfAdjoint · cited by 1IsIncreasingApproximateUn…Filter · cited by 8121FilterPartialOrder · cited by 6410PartialOrderFilter.Eventually · cited by 3134Filter.EventuallyNonUnitalCStarAlgebra · cited by 149NonUnitalCStarAlgebraFilter.IsIncreasingApproximateUnit · cited by 9Filter.IsIncreasingApprox…IsIncreasingApproximateUnit.e…CITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.