Theorems · Theorem · real analysis
BoxIntegral.Box.coe_inf
∀ {ι : Type u_1} (I J : WithBot (BoxIntegral.Box ι)), ↑(I ⊓ J) = ↑I ∩ ↑J- Defined in
- Mathlib.Analysis.BoxIntegral.Box.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.univproof · cited by 3,945
- WithBotstatement and proof · cited by 1,498
- Set.Iocproof · cited by 971
- BoxIntegral.Boxstatement and proof · cited by 464
- Set.piproof · cited by 405
- BoxIntegral.Box.toSetproof · cited by 121
- WithBot.recBotCoeproof · cited by 101
- BoxIntegral.Box.upperproof · cited by 70
- BoxIntegral.Box.lowerproof · cited by 65
- Set.inter_emptyproof · cited by 36
Cited by3
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.iUnion_restrictproof · cited by 3
- BoxIntegral.Box.disjoint_withBotCoeproof · cited by 2
- BoxIntegral.Prepartition.mem_restrict'proof · cited by 0