Theorems · Theorem · real analysis
BoxIntegral.Box.not_disjoint_coe_iff_nonempty_inter
∀ {ι : Type u_1} {I J : BoxIntegral.Box ι}, ¬Disjoint ↑I ↑J ↔ (↑I ∩ ↑J).Nonempty- Defined in
- Mathlib.Analysis.BoxIntegral.Box.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.Nonemptystatement and proof · cited by 2,627
- Disjointstatement · cited by 2,201
- WithBotstatement · cited by 1,498
- WithBot.somestatement · cited by 541
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Box.toSetstatement and proof · cited by 121
- Set.not_disjoint_iff_nonempty_interproof · cited by 29
- BoxIntegral.Box.disjoint_coeproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.eventually_splitMany_inf_eq_filterproof · cited by 3
- BoxIntegral.Prepartition.not_disjoint_imp_le_of_subset_of_mem_splitManyproof · cited by 1