Mathlib Map

Theorems · Definition · real analysis

BoxIntegral.TaggedPrepartition.iUnion

{ι : Type u_1} → {I : BoxIntegral.Box ι} → BoxIntegral.TaggedPrepartition I → Set (ι → ℝ)

Union of all boxes of a tagged prepartition.

Defined in
Mathlib.Analysis.BoxIntegral.Partition.Tagged
Cited by
51 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

BoxIntegral.TaggedPrepartition.disjUnion · cited by 10TaggedPrepartition.disjUn…BoxIntegral.TaggedPrepartition.unionComplToSubordinate · cited by 7TaggedPrepartition.unionC…BoxIntegral.Prepartition.exists_tagged_le_isHenstock_isSubordinate_iUnion_eq · cited by 6Prepartition.exists_tagge…BoxIntegral.IntegrationParams.toFilterDistortioniUnion · cited by 4IntegrationParams.toFilte…BoxIntegral.IntegrationParams.MemBaseSet.exists_compl · cited by 3MemBaseSet.exists_complBoxIntegral.TaggedPrepartition.disjUnion_tag_of_mem_left · cited by 3TaggedPrepartition.disjUn…BoxIntegral.TaggedPrepartition.disjUnion_tag_of_mem_right · cited by 3TaggedPrepartition.disjUn…BoxIntegral.IntegrationParams.hasBasis_toFilteriUnion_top · cited by 3IntegrationParams.hasBasi…BoxIntegral.IntegrationParams.MemBaseSet.mono' · cited by 2MemBaseSet.mono'BoxIntegral.Integrable.dist_integralSum_le_of_memBaseSet · cited by 2Integrable.dist_integralS…BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq · cited by 2Integrable.dist_integralS…BoxIntegral.TaggedPrepartition.isPartition_unionComplToSubordinate · cited by 2TaggedPrepartition.isPart…BoxIntegral.IntegrationParams.exists_memBaseSet_le_iUnion_eq · cited by 2IntegrationParams.exists_…BoxIntegral.IntegrationParams.hasBasis_toFilterDistortioniUnion · cited by 2IntegrationParams.hasBasi…BoxIntegral.IntegrationParams.hasBasis_toFilteriUnion · cited by 2IntegrationParams.hasBasi…Set · cited by 53352SetReal · cited by 25697RealBoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.TaggedPrepartition · cited by 126BoxIntegral.TaggedPrepart…BoxIntegral.Prepartition.iUnion · cited by 71Prepartition.iUnionBoxIntegral.TaggedPrepartition.toPrepartition · cited by 51TaggedPrepartition.toPrep…TaggedPrepartition.iUnionCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by56

Results whose statement or proof uses this declaration.