Theorems · Theorem · real analysis
BoxIntegral.Prepartition.iUnion_biUnion
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I)
(πi : (J : BoxIntegral.Box ι) → BoxIntegral.Prepartition J), (π.biUnion πi).iUnion = ⋃ J ∈ π, (πi J).iUnion- Cited by
- 4 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.iUnionstatement and proof · cited by 2,483
- BoxIntegral.Boxstatement and proof · cited by 464
- Set.iUnion_congr_Propproof · cited by 374
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Box.toSetproof · cited by 121
- BoxIntegral.Prepartition.iUnionstatement · cited by 71
- Set.iUnion_existsproof · cited by 45
- BoxIntegral.Prepartition.biUnionstatement · cited by 24
- Set.biUnion_and'proof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.iUnion_biUnion_partitionproof · cited by 3
- BoxIntegral.Prepartition.restrict_biUnionproof · cited by 2
- BoxIntegral.Prepartition.iUnion_infproof · cited by 2
- BoxIntegral.Prepartition.iUnion_biUnionTaggedproof · cited by 0