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Theorems · Theorem · real analysis

BoxIntegral.Prepartition.inf_split

∀ {ι : Type u_1} {I : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I) (i : ι) (x : ℝ),
  π ⊓ BoxIntegral.Prepartition.split I i x = π.biUnion fun J => BoxIntegral.Prepartition.split J i x
Defined in
Mathlib.Analysis.BoxIntegral.Partition.Split
Cited by
2 results in Mathlib
Foundations
Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

BoxIntegral.Prepartition.isPartition_splitMany · cited by 2Prepartition.isPartition_…BoxIntegral.Prepartition.inf_splitMany · cited by 1Prepartition.inf_splitManyReal · cited by 25697RealBoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.Prepartition.biUnion · cited by 24Prepartition.biUnionBoxIntegral.Prepartition.split · cited by 14Prepartition.splitBoxIntegral.Prepartition.biUnion_congr_of_le · cited by 1Prepartition.biUnion_cong…BoxIntegral.Prepartition.restrict_split · cited by 1Prepartition.restrict_spl…Prepartition.inf_splitCITED BYCITES

Cites7

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Cited by2

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