Theorems · Theorem · measure theory
MeasurableSpace.DynkinSystem.has_union
∀ {α : Type u_3} (d : MeasurableSpace.DynkinSystem α) {s₁ s₂ : Set α},
d.Has s₁ → d.Has s₂ → Disjoint s₁ s₂ → d.Has (s₁ ∪ s₂)- Defined in
- Mathlib.MeasureTheory.PiSystem
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 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
- Disjointstatement and proof · cited by 2,201
- Set.union_eq_iUnionproof · cited by 28
- MeasurableSpace.DynkinSystemstatement and proof · cited by 19
- MeasurableSpace.DynkinSystem.Hasstatement and proof · cited by 17
- pairwise_disjoint_on_boolproof · cited by 3
- MeasurableSpace.DynkinSystem.has_iUnionproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeasurableSpace.DynkinSystem.has_sdiffproof · cited by 1