Theorems · Theorem · order theory
Set.image2_singleton_right
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {s : Set α} {b : β},
Set.image2 f s {b} = (fun a => f a b) '' s- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 7 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.imagestatement · cited by 5,609
- Set.extproof · cited by 2,266
- Set.image2statement · cited by 311
Cited by16
Results whose statement or proof uses this declaration.
- Set.add_singletonproof · cited by 16
- Set.mul_singletonproof · cited by 13
- Set.image2_singletonproof · cited by 10
- chartedSpaceSelf_prodproof · cited by 9
- AntilipschitzWith.isBounded_of_image2_leftproof · cited by 3
- Set.vadd_singletonproof · cited by 2
- Set.smul_singletonproof · cited by 2
- Set.seq_singletonproof · cited by 1
- Set.image2_insert_rightproof · cited by 1
- Set.sub_singletonproof · cited by 1
- Set.div_singletonproof · cited by 0
- Set.sups_singletonproof · cited by 0