Theorems · Theorem · real analysis
BoxIntegral.Prepartition.le_of_mem
∀ {ι : Type u_1} {I J : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I), J ∈ π → J ≤ I- Cited by
- 15 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Prepartition.le_of_mem'proof · cited by 9
Cited by15
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.sum_biUnion_boxesproof · cited by 3
- BoxIntegral.Prepartition.biUnionIndex_of_memproof · cited by 3
- BoxIntegral.Prepartition.biUnion_leproof · cited by 2
- BoxIntegral.Prepartition.restrict_biUnionproof · cited by 2
- MeasureTheory.IntegrableOn.hasBoxIntegralproof · cited by 2
- BoxIntegral.Prepartition.le_biUnionIndexproof · cited by 2
- BoxIntegral.Prepartition.biUnion_congr_of_leproof · cited by 1
- BoxIntegral.Prepartition.restrict_boxes_of_leproof · cited by 1
- BoxIntegral.integralSum_inf_partitionproof · cited by 1
- BoxIntegral.Prepartition.upper_le_upperproof · cited by 0
- BoxIntegral.Prepartition.lower_le_lowerproof · cited by 0