Theorems · Theorem · measure theory
MeasureTheory.IsSetSemiring.diff_sUnion_eq_sUnion_disjointOfDiffUnion
Deprecated since 2026-06-03Use MeasureTheory.IsSetSemiring.sdiff_sUnion_eq_sUnion_disjointOfDiffUnion instead.
∀ {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), s \ ⋃₀ ↑I = ⋃₀ ↑(hC.disjointOfDiffUnion hs hI)Alias of MeasureTheory.IsSetSemiring.sdiff_sUnion_eq_sUnion_disjointOfDiffUnion.
- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.sUnionstatement · cited by 392
- MeasureTheory.IsSetSemiringstatement · cited by 78
- MeasureTheory.IsSetSemiring.disjointOfDiffUnionstatement · cited by 16
- MeasureTheory.IsSetSemiring.sdiff_sUnion_eq_sUnion_disjointOfDiffUnionproof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.