Theorems · Theorem · real analysis
BoxIntegral.Prepartition.restrict_mono
∀ {ι : Type u_1} {I J : BoxIntegral.Box ι} {π₁ π₂ : BoxIntegral.Prepartition I}, π₁ ≤ π₂ → π₁.restrict J ≤ π₂.restrict J- Cited by
- 3 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botproof · cited by 4,720
- WithBotproof · cited by 1,498
- Finset.imageproof · cited by 910
- WithBot.someproof · cited by 541
- BoxIntegral.Boxstatement and proof · cited by 464
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- Finset.mem_imageproof · cited by 105
- Finset.mem_image_of_memproof · cited by 81
- BoxIntegral.Prepartition.boxesproof · cited by 77
- WithBot.coe_le_coeproof · cited by 76
- inf_le_inf_leftproof · cited by 25
- BoxIntegral.Prepartition.restrictstatement · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.biUnion_le_iffproof · cited by 1
- BoxIntegral.Prepartition.le_biUnion_iffproof · cited by 0
- BoxIntegral.Prepartition.monotone_restrictproof · cited by 0