Theorems · Theorem · measure theory
piiUnionInter_singleton
∀ {α : Type u_3} {ι : Type u_4} (π : ι → Set (Set α)) (i : ι), piiUnionInter π {i} = π i ∪ {Set.univ}- Defined in
- Mathlib.MeasureTheory.PiSystem
- Cited by
- 1 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.
Cites19
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
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Set.univstatement and proof · cited by 3,945
- Set.extproof · cited by 2,266
- le_reflproof · cited by 2,061
- Set.iInterproof · cited by 1,084
- Finset.extproof · cited by 565
- Set.mem_singletonproof · cited by 183
- Set.iInter_congr_Propproof · cited by 170
- Finset.coe_singletonproof · cited by 145
Cited by1
Results whose statement or proof uses this declaration.
- subset_piiUnionInterproof · cited by 2