Theorems · Definition · real analysis
BoxIntegral.Box.withBotToSet
{ι : Type u_1} → WithBot (BoxIntegral.Box ι) → Set (ι → ℝ)The set underlying this box: ⊥ is mapped to ∅.
- Defined in
- Mathlib.Analysis.BoxIntegral.Box.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- WithBotstatement and proof · cited by 1,498
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Box.toSetproof · cited by 121
Cited by15
Results whose statement or proof uses this declaration.
- BoxIntegral.Box.coe_splitLowerstatement and proof · cited by 4
- BoxIntegral.Box.coe_splitUpperstatement and proof · cited by 4
- BoxIntegral.Box.coe_infstatement and proof · cited by 3
- BoxIntegral.Prepartition.iUnion_restrictproof · cited by 3
- BoxIntegral.Box.coe_mk'statement and proof · cited by 3
- BoxIntegral.Box.disjoint_withBotCoestatement and proof · cited by 2
- BoxIntegral.Box.withBotCoe_subset_iffstatement and proof · cited by 2
- BoxIntegral.Prepartition.iUnion_ofWithBotstatement and proof · cited by 2
- BoxIntegral.Prepartition.iUnion_splitproof · cited by 1
- BoxIntegral.Box.disjoint_splitLower_splitUpperproof · cited by 1
- BoxIntegral.Box.coe_botstatement · cited by 1
- BoxIntegral.Box.withBotCoe_injstatement · cited by 0