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Theorems · Theorem · real analysis

BoxIntegral.IntegrationParams.toFilteriUnion_mono

∀ {ι : Type u_1} [inst : Fintype ι] (I : BoxIntegral.Box ι) {l₁ l₂ : BoxIntegral.IntegrationParams},
  l₁ ≤ l₂ →
    ∀ (π₀ : BoxIntegral.Prepartition I),
      BoxIntegral.IntegrationParams.toFilteriUnion I π₀ ≤ BoxIntegral.IntegrationParams.toFilteriUnion I π₀
Defined in
Mathlib.Analysis.BoxIntegral.Partition.Filter
Cited by
1 results in Mathlib
Foundations
Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fintype
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Around this declaration

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

BoxIntegral.HasIntegral.mono · cited by 3HasIntegral.monoFilter · cited by 8121FilterFintype · cited by 7736FintypeSet.ofPred · cited by 6101Set.ofPredNNReal · cited by 4310NNRealle_rfl · cited by 1558le_rflFilter.principal · cited by 740Filter.principalBoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.TaggedPrepartition · cited by 126BoxIntegral.TaggedPrepart…BoxIntegral.IntegrationParams · cited by 101BoxIntegral.IntegrationPa…BoxIntegral.Prepartition.iUnion · cited by 71Prepartition.iUnionBoxIntegral.TaggedPrepartition.iUnion · cited by 51TaggedPrepartition.iUnioniSup_mono · cited by 37iSup_monoinf_le_inf_right · cited by 23inf_le_inf_rightBoxIntegral.IntegrationParams.toFilteriUnion · cited by 16IntegrationParams.toFilte…IntegrationParams.toFilteriUn…CITED BYCITES

Cites16

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Cited by1

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