Theorems · Theorem · order theory
Set.image_image2
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} {δ : Type u_7} {s : Set α} {t : Set β} (f : α → β → γ) (g : γ → δ),
g '' Set.image2 f s t = Set.image2 (fun a b => g (f a b)) s t- Defined in
- Mathlib.Data.Set.NAry
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- SProd.sprodproof · cited by 1,750
- Set.image2statement · cited by 311
- Set.image_imageproof · cited by 140
Cited by8
Results whose statement or proof uses this declaration.
- Set.image_image2_distribproof · cited by 12
- ContinuousMap.isInducing_postcompproof · cited by 2
- Set.image_seqproof · cited by 1
- PointedCone.minTensorProduct_commproof · cited by 1
- Set.star_mulproof · cited by 0
- Set.star_addproof · cited by 0
- Finset.image_image₂proof · cited by 0
- Language.reverse_mulproof · cited by 0