Theorems · Theorem · order theory
Set.iUnion_prod
∀ {ι : Type u_9} {ι' : Type u_10} {α : Type u_11} {β : Type u_12} (s : ι → Set α) (t : ι' → Set β),
⋃ x, s x.1 ×ˢ t x.2 = (⋃ i, s i) ×ˢ ⋃ i, t i- Defined in
- Mathlib.Data.Set.Lattice.Image
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Set.extproof · cited by 2,266
- SProd.sprodstatement · cited by 1,750
Cited by1
Results whose statement or proof uses this declaration.
- Set.iUnion_unpair_prodproof · cited by 1