Theorems · Theorem · real analysis
BoxIntegral.Prepartition.splitMany_insert
∀ {ι : Type u_1} (I : BoxIntegral.Box ι) (s : Finset (ι × ℝ)) (p : ι × ℝ),
BoxIntegral.Prepartition.splitMany I (insert p s) =
BoxIntegral.Prepartition.splitMany I s ⊓ BoxIntegral.Prepartition.split I p.1 p.2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Finsetstatement and proof · cited by 13,712
- BoxIntegral.Boxstatement and proof · cited by 464
- Finset.infproof · cited by 219
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- inf_commproof · cited by 139
- Finset.inf_insertproof · cited by 16
- BoxIntegral.Prepartition.splitstatement and proof · cited by 14
- BoxIntegral.Prepartition.splitManystatement and proof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.isPartition_splitManyproof · cited by 2
- BoxIntegral.Prepartition.inf_splitManyproof · cited by 1