Theorems · Theorem · measure theory
MeasureTheory.IsSetSemiring.pairwiseDisjoint_biUnion_disjointOfUnion
∀ {α : Type u_1} {C : Set (Set α)} {J : Finset (Set α)} (hC : MeasureTheory.IsSetSemiring C) (hJ : ↑J ⊆ C),
(⋃ x ∈ J, ↑(hC.disjointOfUnion hJ x)).PairwiseDisjoint id- Defined in
- Mathlib.MeasureTheory.SetSemiring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Equiv.symmproof · cited by 3,681
- Set.iUnionstatement and proof · cited by 2,483
- iSupproof · cited by 2,415
- Finset.cardproof · cited by 2,327
- Disjointproof · cited by 2,201
- Function.onFunproof · cited by 570
- Pairwiseproof · cited by 516
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.IsSetSemiring.disjointOfUnion_propsproof · cited by 0