Theorems · Theorem · real analysis
BoxIntegral.Prepartition.IsPartition.eq_of_boxes_subset
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π₁ π₂ : BoxIntegral.Prepartition I},
π₁.IsPartition → π₁.boxes ⊆ π₂.boxes → π₁ = π₂- Cited by
- 2 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Prepartition.boxesstatement and proof · cited by 77
- BoxIntegral.Prepartition.IsPartitionstatement and proof · cited by 30
- BoxIntegral.Prepartition.eq_of_boxes_subset_iUnion_supersetproof · cited by 2
- BoxIntegral.Prepartition.IsPartition.iUnion_subsetproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.restrict_splitproof · cited by 1
- BoxIntegral.Prepartition.split_of_notMem_Iooproof · cited by 0