Theorems · Theorem · order theory
Set.image2_insert_right
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {s : Set α} {t : Set β} {b : β},
Set.image2 f s (insert b t) = (fun a => f a b) '' s ∪ Set.image2 f s t- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 and proof · cited by 5,609
- Set.image2statement and proof · cited by 311
- Set.insert_eqproof · cited by 47
- Set.image2_singleton_rightproof · cited by 16
- Set.image2_union_rightproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Finset.image₂_insert_rightproof · cited by 0