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Theorems · Theorem · real analysis

BoxIntegral.Prepartition.biUnion_congr_of_le

∀ {ι : Type u_1} {I : BoxIntegral.Box ι} {π₁ π₂ : BoxIntegral.Prepartition I}
  {πi₁ πi₂ : (J : BoxIntegral.Box ι) → BoxIntegral.Prepartition J},
  π₁ = π₂ → (∀ J ≤ I, πi₁ J = πi₂ J) → π₁.biUnion πi₁ = π₂.biUnion πi₂
Defined in
Mathlib.Analysis.BoxIntegral.Partition.Basic
Cited by
1 results in Mathlib
Foundations
Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
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BoxIntegral.Prepartition.inf_split · cited by 2Prepartition.inf_splitBoxIntegral.Box · cited by 464BoxIntegral.BoxBoxIntegral.Prepartition · cited by 199BoxIntegral.PrepartitionBoxIntegral.Prepartition.biUnion · cited by 24Prepartition.biUnionBoxIntegral.Prepartition.le_of_mem · cited by 15Prepartition.le_of_memBoxIntegral.Prepartition.biUnion_congr · cited by 2Prepartition.biUnion_congrPrepartition.biUnion_congr_of…CITED BYCITES

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