Theorems · Definition · real analysis
BoxIntegral.Prepartition.IsPartition
{ι : Type u_1} → {I : BoxIntegral.Box ι} → BoxIntegral.Prepartition I → PropA prepartition π of I is a partition if the boxes of π cover the whole I.
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
Cited by39
Results whose statement or proof uses this declaration.
- BoxIntegral.TaggedPrepartition.IsPartitionproof · cited by 27
- MeasureTheory.Measure.toBoxAdditiveproof · cited by 22
- BoxIntegral.Prepartition.IsPartition.iUnion_eqstatement and proof · cited by 9
- BoxIntegral.Prepartition.isPartition_iff_iUnion_eqstatement · cited by 6
- BoxIntegral.BoxAdditiveMap.sum_partition_boxesstatement and proof · cited by 5
- BoxIntegral.BoxAdditiveMap.mapproof · cited by 3
- BoxIntegral.Prepartition.iUnion_biUnion_partitionstatement and proof · cited by 3
- BoxIntegral.Prepartition.IsPartition.biUnionstatement and proof · cited by 3
- BoxIntegral.Prepartition.isPartitionSplitstatement · cited by 3
- BoxIntegral.Prepartition.isPartitionTopstatement · cited by 3
- BoxIntegral.Prepartition.IsPartition.eq_of_boxes_subsetstatement and proof · cited by 2
- BoxIntegral.Prepartition.IsPartition.iUnion_subsetstatement and proof · cited by 2