Theorems · Theorem · measure theory
MeasureTheory.IsSetSemiring.sUnion_insert_disjointOfDiff
∀ {α : Type u_1} {C : Set (Set α)} {s t : Set α} (hC : MeasureTheory.IsSetSemiring C) (hs : s ∈ C) (ht : t ∈ C),
t ⊆ s → ⋃₀ insert t ↑(hC.disjointOfDiff hs ht) = s- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.sUnionstatement and proof · cited by 392
- MeasureTheory.IsSetSemiringstatement and proof · cited by 78
- Set.union_sdiff_cancelproof · cited by 16
- Set.sUnion_insertproof · cited by 11
- MeasureTheory.IsSetSemiring.disjointOfDiffstatement and proof · cited by 11
- MeasureTheory.IsSetSemiring.sUnion_disjointOfDiffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.eq_add_disjointOfDiff_of_subsetproof · cited by 1