Theorems · Theorem · real analysis
BoxIntegral.Prepartition.restrict_boxes_of_le
∀ {ι : Type u_1} {I J : BoxIntegral.Box ι} (π : BoxIntegral.Prepartition I), I ≤ J → (π.restrict J).boxes = π.boxesRestricting to a larger box does not change the set of boxes. We cannot claim equality of prepartitions because they have different types.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Finsetstatement and proof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- LE.le.transproof · cited by 3,151
- WithBotproof · cited by 1,498
- Finset.imageproof · cited by 910
- WithBot.someproof · cited by 541
- BoxIntegral.Boxstatement and proof · cited by 464
- Finset.biUnionproof · cited by 217
- BoxIntegral.Prepartitionstatement and proof · cited by 199
- inf_of_le_rightproof · cited by 128
- BoxIntegral.Prepartition.boxesstatement and proof · cited by 77
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.Prepartition.restrict_selfproof · cited by 0