Theorems · Theorem · measure theory
MeasureTheory.IsSetSemiring.sUnion_disjointOfDiffUnion_subset
∀ {α : Type u_1} {C : Set (Set α)} {s : Set α} {I : Finset (Set α)} (hC : MeasureTheory.IsSetSemiring C) (hs : s ∈ C)
(hI : ↑I ⊆ C), ⋃₀ ↑(hC.disjointOfDiffUnion hs hI) ⊆ s- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.sUnionstatement · cited by 392
- Set.sdiff_subsetproof · cited by 156
- MeasureTheory.IsSetSemiringstatement and proof · cited by 78
- MeasureTheory.IsSetSemiring.disjointOfDiffUnionstatement · cited by 16
- MeasureTheory.IsSetSemiring.sdiff_sUnion_eq_sUnion_disjointOfDiffUnionproof · cited by 6
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