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.
Let x4 of type ι be given.
Apply SNo_add_SNo with
x0,
add_SNo x1 (add_SNo x2 (add_SNo x3 x4)) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply SNo_add_SNo_4 with
x1,
x2,
x3,
x4 leaving 4 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.