Theorems · Theorem · real analysis
BoxIntegral.TaggedPrepartition.IsPartition.biUnionPrepartition
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π : BoxIntegral.TaggedPrepartition I},
π.IsPartition →
∀ {πi : (J : BoxIntegral.Box ι) → BoxIntegral.Prepartition J},
(∀ J ∈ π, (πi J).IsPartition) → (π.biUnionPrepartition πi).IsPartition- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.TaggedPrepartitionstatement and proof · cited by 126
- BoxIntegral.Prepartition.IsPartitionstatement and proof · cited by 30
- BoxIntegral.TaggedPrepartition.IsPartitionstatement and proof · cited by 27
- BoxIntegral.TaggedPrepartition.biUnionPrepartitionstatement · cited by 5
- BoxIntegral.Prepartition.IsPartition.biUnionproof · cited by 3
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