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Theorems · Definition · real analysis

BoxIntegral.Prepartition.restrict

{ι : Type u_1} →
  {I : BoxIntegral.Box ι} → BoxIntegral.Prepartition I → (J : BoxIntegral.Box ι) → BoxIntegral.Prepartition J

Restrict a prepartition to a box.

Defined in
Mathlib.Analysis.BoxIntegral.Partition.Basic
Cited by
16 results in Mathlib
Foundations
Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BoxIntegral.TaggedPrepartition.infPrepartition · cited by 7TaggedPrepartition.infPre…BoxIntegral.Prepartition.iUnion_restrict · cited by 3Prepartition.iUnion_restr…BoxIntegral.Prepartition.restrict_mono · cited by 3Prepartition.restrict_monoBoxIntegral.Prepartition.mem_restrict · cited by 3Prepartition.mem_restrictBoxIntegral.Prepartition.IsPartition.restrict · cited by 2IsPartition.restrictBoxIntegral.Prepartition.restrict_biUnion · cited by 2Prepartition.restrict_biU…BoxIntegral.Prepartition.iUnion_inf · cited by 2Prepartition.iUnion_infBoxIntegral.Prepartition.restrict_boxes_of_le · cited by 1Prepartition.restrict_box…BoxIntegral.Prepartition.biUnion_le_iff · cited by 1Prepartition.biUnion_le_i…BoxIntegral.Prepartition.restrict_split · cited by 1Prepartition.restrict_spl…BoxIntegral.TaggedPrepartition.IsSubordinate.infPrepartition · cited by 1IsSubordinate.infPreparti…BoxIntegral.integralSum_inf_partition · cited by 1BoxIntegral.integralSum_i…BoxIntegral.Prepartition.inf_def · cited by 0Prepartition.inf_defBoxIntegral.Prepartition.restrict_self · cited by 0Prepartition.restrict_selfBoxIntegral.Prepartition.le_biUnion_iff · cited by 0Prepartition.le_biUnion_i…WithBot · cited by 1498WithBotFinset.image · cited by 910Finset.imageWithBot.some · cited by 541WithBot.someBoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.Prepartition.boxes · cited by 77Prepartition.boxesBoxIntegral.Prepartition.ofWithBot · cited by 7Prepartition.ofWithBotPrepartition.restrictCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by17

Results whose statement or proof uses this declaration.