Theorems · Theorem · real analysis
BoxIntegral.Prepartition.IsPartition.iUnion_eq
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π : BoxIntegral.Prepartition I}, π.IsPartition → π.iUnion = ↑I- Cited by
- 9 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Box.toSetstatement · cited by 121
- BoxIntegral.Prepartition.iUnionstatement · cited by 71
- BoxIntegral.Prepartition.IsPartitionstatement and proof · cited by 30
- BoxIntegral.Prepartition.isPartition_iff_iUnion_eqproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.iUnion_biUnion_partitionproof · cited by 3
- BoxIntegral.Prepartition.IsPartition.restrictproof · cited by 2
- MeasureTheory.IntegrableOn.hasBoxIntegralproof · cited by 2
- BoxIntegral.Prepartition.IsPartition.iUnion_subsetproof · cited by 2
- BoxIntegral.Prepartition.IsPartition.infproof · cited by 1
- BoxIntegral.TaggedPrepartition.iUnion_unionComplToSubordinate_boxesproof · cited by 1
- BoxIntegral.Prepartition.iUnion_splitManyproof · cited by 1
- BoxIntegral.Prepartition.IsPartition.compl_eq_botproof · cited by 1
- BoxIntegral.Prepartition.IsPartition.exists_splitMany_leproof · cited by 0