Theorems · Theorem · real analysis
BoxIntegral.Prepartition.iUnion_restrict
∀ {ι : Type u_1} {I J : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I), (π.restrict J).iUnion = ↑J ∩ π.iUnion- Cited by
- 3 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 · cited by 25,697
- Set.iUnionproof · cited by 2,483
- WithBotproof · cited by 1,498
- Finset.imageproof · cited by 910
- WithBot.someproof · cited by 541
- BoxIntegral.Boxstatement and proof · cited by 464
- Set.iUnion_congr_Propproof · cited by 374
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Box.toSetstatement and proof · cited by 121
- BoxIntegral.Prepartition.boxesproof · cited by 77
- BoxIntegral.Prepartition.iUnionstatement and proof · cited by 71
Cited by3
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.IsPartition.restrictproof · cited by 2
- BoxIntegral.Prepartition.restrict_biUnionproof · cited by 2
- BoxIntegral.Prepartition.iUnion_infproof · cited by 2