Theorems · Theorem · real analysis
BoxIntegral.Prepartition.iUnion_eq_empty
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π₁ : BoxIntegral.Prepartition I}, π₁.iUnion = ∅ ↔ π₁ = ⊥- Cited by
- 2 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
- Bot.botstatement and proof · cited by 4,720
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Prepartition.iUnionstatement · cited by 71
- BoxIntegral.Prepartition.injective_boxesproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.IsPartition.compl_eq_botproof · cited by 1
- BoxIntegral.Prepartition.iUnion_botproof · cited by 1