Theorems · Theorem · order theory
Set.image2_comm
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {f : α → β → γ} {s : Set α} {t : Set β} {g : β → α → γ},
(∀ (a : α) (b : β), f a b = g b a) → Set.image2 f s t = Set.image2 g t s- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 4 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 and proof · cited by 53,352
- Set.image2statement and proof · cited by 311
- Set.image2_swapproof · cited by 17
- Set.image2_congrproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- Set.image2_inter_union_subsetproof · cited by 4
- Set.image2_union_inter_subsetproof · cited by 3
- Set.sups_commproof · cited by 0
- Set.infs_commproof · cited by 0