Theorems · Theorem · order theory
Set.image2_eq_iUnion
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : α → β → γ) (s : Set α) (t : Set β),
Set.image2 f s t = ⋃ i ∈ s, ⋃ j ∈ t, {f i j}The Set.image2 version of Set.image_eq_iUnion
- Defined in
- Mathlib.Data.Set.Lattice.Image
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 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
- Set.image2statement · cited by 311
Cited by1
Results whose statement or proof uses this declaration.
- Set.iUnion_image_leftproof · cited by 15