Theorems · Theorem · real analysis
BoxIntegral.Prepartition.mem_restrict
∀ {ι : Type u_1} {I J J₁ : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I),
J₁ ∈ π.restrict J ↔ ∃ J' ∈ π, ↑J₁ = ↑J ⊓ ↑J'- Cited by
- 3 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithBotstatement · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- BoxIntegral.Prepartition.restrictstatement · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.restrict_biUnionproof · cited by 2
- BoxIntegral.Prepartition.biUnion_le_iffproof · cited by 1
- BoxIntegral.Prepartition.le_biUnion_iffproof · cited by 0