Theorems · Theorem · real analysis
BoxIntegral.Box.coe_splitUpper
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {i : ι} {x : ℝ}, ↑(I.splitUpper i x) = ↑I ∩ {y | x < y i}- Cited by
- 4 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredstatement and proof · cited by 6,101
- Set.extproof · cited by 2,266
- WithBotproof · cited by 1,498
- Function.updateproof · cited by 502
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Box.toSetstatement and proof · cited by 121
- BoxIntegral.Box.upperproof · cited by 70
- BoxIntegral.Box.lowerproof · cited by 65
- BoxIntegral.Box.withBotToSetstatement and proof · cited by 15
- Function.forall_update_iffproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.mem_split_iff'proof · cited by 2
- BoxIntegral.Prepartition.iUnion_splitproof · cited by 1
- BoxIntegral.Box.disjoint_splitLower_splitUpperproof · cited by 1
- BoxIntegral.Box.splitUpper_leproof · cited by 0