Theorems · Theorem · real analysis
BoxIntegral.Prepartition.le_biUnion_iff
∀ {ι : Type u_1} {I : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I)
{πi : (J : BoxIntegral.Box ι) → BoxIntegral.Prepartition J} {π' : BoxIntegral.Prepartition I},
π' ≤ π.biUnion πi ↔ π' ≤ π ∧ ∀ J ∈ π, π'.restrict J ≤ πi J- Cited by
- 0 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- inf_of_le_rightproof · cited by 128
- WithBot.coe_le_coeproof · cited by 76
- BoxIntegral.Prepartition.biUnionstatement and proof · cited by 24
- BoxIntegral.Prepartition.restrictstatement and proof · cited by 16
- BoxIntegral.Prepartition.mem_biUnionproof · cited by 9
- BoxIntegral.Prepartition.restrict_monoproof · cited by 3
- BoxIntegral.Prepartition.mem_restrictproof · cited by 3
- BoxIntegral.Prepartition.restrict_biUnionproof · cited by 2
- BoxIntegral.Prepartition.biUnion_leproof · cited by 2
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