English
The image of the pair constructor is the cartesian product constructed by the product operator: image₂ Prod.mk s t = s ×ˢ t.
Русский
Образ пары отобразителя равен декартову произведению, заданному через ⋅: image₂ Prod.mk s t = s ×ˢ t.
LaTeX
$$$\mathrm{image}_2\mathrm{ Prod.mk}\ s\ t = s \times\!\!\ˢ t$$$
Lean4
theorem image_image₂ (f : α → β → γ) (g : γ → δ) : (image₂ f s t).image g = image₂ (fun a b => g (f a b)) s t :=
coe_injective <| by
push_cast
exact image_image2 _ _