Theorems · Definition · real analysis
BoxIntegral.Prepartition.disjUnion
{ι : Type u_1} →
{I : BoxIntegral.Box ι} →
(π₁ π₂ : BoxIntegral.Prepartition I) → Disjoint π₁.iUnion π₂.iUnion → BoxIntegral.Prepartition IUnion of two disjoint prepartitions.
- Cited by
- 7 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.
Cites7
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
- Disjointstatement and proof · cited by 2,201
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Prepartition.boxesproof · cited by 77
- BoxIntegral.Prepartition.iUnionstatement and proof · cited by 71
Cited by8
Results whose statement or proof uses this declaration.
- BoxIntegral.TaggedPrepartition.disjUnionproof · cited by 10
- BoxIntegral.Prepartition.iUnion_disjUnionstatement · cited by 3
- BoxIntegral.Prepartition.isPartitionDisjUnionOfEqDiffstatement · cited by 1
- BoxIntegral.Prepartition.distortion_disjUnionstatement · cited by 1
- BoxIntegral.IntegrationParams.MemBaseSet.filterproof · cited by 1
- BoxIntegral.Prepartition.mem_disjUnionstatement · cited by 0
- BoxIntegral.Prepartition.disjUnion.congr_simpstatement and proof · cited by 0
- BoxIntegral.Prepartition.disjUnion_boxesstatement and proof · cited by 0