Theorems · Theorem · order theory
Set.image2_range
∀ {α : Type u_1} {α' : Type u_2} {β : Type u_3} {β' : Type u_4} {γ : Type u_5} (f : α' → β' → γ) (g : α → α')
(h : β → β'), Set.image2 f (Set.range g) (Set.range h) = Set.range fun x => f (g x.1) (h x.2)- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.imageproof · cited by 5,609
- Set.rangestatement · cited by 4,705
- Set.univproof · cited by 3,945
- Set.image2statement and proof · cited by 311
- Set.univ_prod_univproof · cited by 32
- Set.image2_image_leftproof · cited by 17
- Set.image2_image_rightproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Set.range_smul_rangeproof · cited by 0
- Set.range_vadd_rangeproof · cited by 0