Theorems · Theorem · order theory
Set.prod_eq_biUnion_left
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β}, s ×ˢ t = ⋃ a ∈ s, (fun b => (a, b)) '' t- Defined in
- Mathlib.Data.Set.Lattice.Image
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
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Cites6
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.imagestatement · cited by 5,609
- Set.iUnionstatement · cited by 2,483
- SProd.sprodstatement and proof · cited by 1,750
- Set.iUnion_image_leftproof · cited by 15
- Set.image2_mk_eq_prodproof · cited by 3
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