Theorems · Theorem · real analysis
BoxIntegral.Prepartition.inf_splitMany
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I) (s : Finset (ι × ℝ)),
π ⊓ BoxIntegral.Prepartition.splitMany I s = π.biUnion fun J => BoxIntegral.Prepartition.splitMany J s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- inf_of_le_leftproof · cited by 186
- Finset.induction_onproof · cited by 167
- BoxIntegral.Prepartition.biUnionstatement and proof · cited by 24
- BoxIntegral.Prepartition.splitproof · cited by 14
- BoxIntegral.Prepartition.splitManystatement and proof · cited by 13
- BoxIntegral.Prepartition.biUnion_congrproof · cited by 2
- BoxIntegral.Prepartition.inf_splitproof · cited by 2
- BoxIntegral.Prepartition.splitMany_insertproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.BoxAdditiveMap.sum_boxes_congrproof · cited by 0