Theorems · Definition · real analysis
BoxIntegral.Prepartition.biUnionTagged
{ι : Type u_1} →
{I : BoxIntegral.Box ι} →
BoxIntegral.Prepartition I →
((J : BoxIntegral.Box ι) → BoxIntegral.TaggedPrepartition J) → BoxIntegral.TaggedPrepartition IGiven a partition π of I : BoxIntegral.Box ι and a collection of tagged partitions
πi J of all boxes J ∈ π, returns the tagged partition of I into all the boxes of πi J
with tags coming from (πi J).tag.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.TaggedPrepartition.toPrepartitionproof · cited by 51
- BoxIntegral.TaggedPrepartition.tagproof · cited by 34
- BoxIntegral.Prepartition.biUnionproof · cited by 24
- BoxIntegral.Prepartition.biUnionIndexproof · cited by 8
Cited by13
Results whose statement or proof uses this declaration.
- BoxIntegral.TaggedPrepartition.isHenstock_biUnionTaggedstatement · cited by 3
- BoxIntegral.TaggedPrepartition.isSubordinate_biUnionTaggedstatement · cited by 3
- BoxIntegral.Prepartition.tag_biUnionTaggedstatement and proof · cited by 2
- BoxIntegral.Prepartition.forall_biUnionTaggedstatement and proof · cited by 2
- BoxIntegral.Prepartition.distortion_biUnionTaggedstatement · cited by 2
- BoxIntegral.Prepartition.IsPartition.biUnionTaggedstatement · cited by 1
- BoxIntegral.integralSum_biUnionTaggedstatement and proof · cited by 1
- BoxIntegral.Prepartition.mem_biUnionTaggedstatement · cited by 1
- BoxIntegral.IntegrationParams.biUnionTagged_memBaseSetstatement and proof · cited by 1