Theorems · Theorem · real analysis
BoxIntegral.Prepartition.iUnion_split
∀ {ι : Type u_1} (I : BoxIntegral.Box ι) (i : ι) (x : ℝ), (BoxIntegral.Prepartition.split I i x).iUnion = ↑I- Cited by
- 1 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Set.iUnionproof · cited by 2,483
- WithBotproof · cited by 1,498
- BoxIntegral.Boxstatement and proof · cited by 464
- Set.iUnion_congr_Propproof · cited by 374
- Set.inter_univproof · cited by 198
- BoxIntegral.Box.toSetstatement and proof · cited by 121
- BoxIntegral.Prepartition.iUnionstatement · cited by 71
- Set.iUnion_iUnion_eq_leftproof · cited by 27
- Set.iUnion_iUnion_eq_or_leftproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.isPartitionSplitproof · cited by 3