Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Apply add_SNo_assoc with
x0,
x1,
minus_SNo x2,
λ x4 x5 . x5 = x3 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply SNo_minus_SNo with
x2.
The subproof is completed by applying H2.
Apply H4 with
λ x4 x5 . add_SNo x5 (minus_SNo x2) = x3.
Apply add_SNo_minus_R2 with
x3,
x2 leaving 2 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H2.