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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.boxes

Restricting to a larger box does not change the set of boxes. We cannot claim equality of prepartitions because they have different types.

Defined in
Mathlib.Analysis.BoxIntegral.Partition.Basic
Cited by
1 results in Mathlib
Foundations
Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound

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