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Theorems · Theorem · functional analysis

Filter.IsIncreasingApproximateUnit.pure_one

∀ (A : Type u_2) [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A],
  (pure 1).IsIncreasingApproximateUnit
Defined in
Mathlib.Analysis.CStarAlgebra.ApproximateUnit
Cited by
0 results in Mathlib
Foundations
Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CStarAlgebraPartialOrderStarOrderedRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Filter · cited by 8121FilterPartialOrder · cited by 6410PartialOrderFilter.Eventually · cited by 3134Filter.EventuallyNontrivial · cited by 2416NontrivialStarOrderedRing · cited by 587StarOrderedRingNormOneClass.norm_one · cited by 148NormOneClass.norm_oneCStarAlgebra · cited by 123CStarAlgebraFilter.IsApproximateUnit · cited by 10Filter.IsApproximateUnitFilter.IsIncreasingApproximateUnit · cited by 9Filter.IsIncreasingApprox…norm_of_subsingleton · cited by 8norm_of_subsingletonFilter.IsApproximateUnit.pure_one · cited by 1IsApproximateUnit.pure_oneIsIncreasingApproximateUnit.p…CITED BYCITES

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