Let x0 of type ι be given.
Let x1 of type ι be given.
Apply add_SNo_0R with
x1,
λ x2 x3 . divides_int x0 x2 leaving 2 subgoals.
Apply nat_p_SNo with
x1.
The subproof is completed by applying H1.
Apply minus_SNo_0 with
λ x2 x3 . divides_int x0 (add_SNo x1 x2).
Apply H2 with
λ x2 x3 . divides_int x0 (add_SNo x1 (minus_SNo x2)).
Apply unknownprop_de46f3f56305affec6d4587c784b63a18d38e7b33818071c678730ea3a326a68 with
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.