DEFINITION minus_Sx_Sy()
TYPE =
∀x:nat.∀y:nat.(eq nat (minus (S x) (S y)) (minus x y))
BODY =
assume x: nat
assume y: nat
by (refl_equal . .)
we proved eq nat (minus x y) (minus x y)
that is equivalent to eq nat (minus (S x) (S y)) (minus x y)
we proved ∀x:nat.∀y:nat.(eq nat (minus (S x) (S y)) (minus x y))