Theorems · Theorem · measure theory
MeasureTheory.IsSetRing.disjointed_mem
∀ {α : Type u_1} {C : Set (Set α)} {ι : Type u_2} [inst : Preorder ι] [inst_1 : LocallyFiniteOrderBot ι],
MeasureTheory.IsSetRing C → ∀ {s : ι → Set α}, (∀ (j : ι), s j ∈ C) → ∀ (i : ι), disjointed s i ∈ C- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 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 and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- LocallyFiniteOrderBotstatement and proof · cited by 286
- disjointedstatement · cited by 64
- MeasureTheory.IsSetRingstatement and proof · cited by 32
- MeasureTheory.IsSetRing.sdiff_memproof · cited by 9
- disjointedRecproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.addContent_le_sum_of_subset_sUnionproof · cited by 1