Theorems · Theorem · order theory
Set.iUnion_congr
∀ {α : Type u_1} {ι : Sort u_5} {s t : ι → Set α}, (∀ (i : ι), s i = t i) → ⋃ i, s i = ⋃ i, t i- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Set.iUnionstatement · cited by 2,483
- iSup_congrproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- Set.iUnion₂_congrproof · cited by 8
- AddSubgroup.leftCoset_cover_filter_FiniteIndex_auxproof · cited by 3
- Subgroup.leftCoset_cover_filter_FiniteIndex_auxproof · cited by 3
- MeasureTheory.sigmaFinite_restrict_sigmaFiniteSetWRT'proof · cited by 3
- Set.iUnion_eq_constproof · cited by 0