Theorems · Theorem · real analysis
BoxIntegral.Prepartition.iUnion_inf
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} (π₁ π₂ : BoxIntegral.Prepartition I), (π₁ ⊓ π₂).iUnion = π₁.iUnion ∩ π₂.iUnion- Cited by
- 2 results in Mathlib
- Foundations
- Depth 138 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.iUnionproof · 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 and proof · cited by 71
- BoxIntegral.Prepartition.restrictproof · cited by 16
- BoxIntegral.Prepartition.iUnion_biUnionproof · cited by 4
- BoxIntegral.Prepartition.iUnion_restrictproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.exists_iUnion_eq_sdiffproof · cited by 3
- BoxIntegral.Prepartition.IsPartition.infproof · cited by 1