Theorems · Theorem · real analysis

BoxIntegral.IntegrationParams.biUnionTagged_memBaseSet

∀ {ι : Type u_1} [inst : Fintype ι] {I : BoxIntegral.Box ι} {c : NNReal} {l : BoxIntegral.IntegrationParams}
  {r : (ι → ℝ) → ↑(Set.Ioi 0)} {π : BoxIntegral.Prepartition I}
  {πi : (J : BoxIntegral.Box ι) → BoxIntegral.TaggedPrepartition J},
  (∀ J ∈ π, l.MemBaseSet J c r (πi J)) →
    (∀ J ∈ π, (πi J).IsPartition) →
      (l.bDistortion = true → π.compl.distortion ≤ c) → l.MemBaseSet I c r (π.biUnionTagged πi)

Defined in

Mathlib.Analysis.BoxIntegral.Partition.Filter

Cited by

1 results in Mathlib

Foundations

Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Fintype