Theorems · Theorem · order theory
Set.image2_singleton_left
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {t : Set β} {a : α}, Set.image2 f {a} t = f a '' t- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 15 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 by15
Results whose statement or proof uses this declaration.
- Set.singleton_addproof · cited by 23
- Set.singleton_mulproof · cited by 9
- Set.singleton_vaddproof · cited by 5
- Set.singleton_smulproof · cited by 3
- Submodule.map₂_span_singleton_eq_mapproof · cited by 2
- Set.image2_insert_leftproof · cited by 1
- Continuous.compacts_map'proof · cited by 1
- Set.image2_left_identityproof · cited by 1
- Set.singleton_seqproof · cited by 1
- Set.singleton_subproof · cited by 1
- Set.singleton_supsproof · cited by 0
- Set.singleton_vsubproof · cited by 0