Let x0 of type ι be given.
Let x1 of type ι be given.
Apply minus_SNo_invol with
x1,
λ x2 x3 . divides_int x0 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply divides_int_minus_SNo with
x0,
minus_SNo x1.
The subproof is completed by applying H1.