Theorems · Theorem · real analysis
BoxIntegral.Prepartition.IsPartition.iUnion_subset
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π : BoxIntegral.Prepartition I},
π.IsPartition → ∀ (π₁ : BoxIntegral.Prepartition I), π₁.iUnion ⊆ π.iUnion- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Prepartition.iUnionstatement · cited by 71
- BoxIntegral.Prepartition.IsPartitionstatement and proof · cited by 30
- BoxIntegral.Prepartition.IsPartition.iUnion_eqproof · cited by 9
- BoxIntegral.Prepartition.iUnion_subsetproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.IsPartition.eq_of_boxes_subsetproof · cited by 2
- BoxIntegral.Prepartition.IsPartition.le_iffproof · cited by 0