Theorems · Theorem · order theory
Set.image2_singleton
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {a : α} {b : β}, Set.image2 f {a} {b} = {f a b}- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, 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 · cited by 53,352
- Set.image2statement · cited by 311
- Set.image_singletonproof · cited by 174
- Set.image2_singleton_rightproof · cited by 16
Cited by10
Results whose statement or proof uses this declaration.
- Set.singleton_mul_singletonproof · cited by 7
- Set.singleton_add_singletonproof · cited by 3
- Set.singleton_vsub_singletonproof · cited by 2
- Set.singleton_sdiv_singletonproof · cited by 1
- Set.singleton_smul_singletonproof · cited by 1
- Set.singleton_div_singletonproof · cited by 1
- Set.singleton_sub_singletonproof · cited by 1
- Set.singleton_infs_singletonproof · cited by 0
- Set.singleton_sups_singletonproof · cited by 0
- Set.singleton_vadd_singletonproof · cited by 0