Let x0 of type ι be given.
Apply exp_SNo_nat_S with
x0,
0,
λ x1 x2 . x2 = x0 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying nat_0.
Apply exp_SNo_nat_0 with
x0,
λ x1 x2 . mul_SNo x0 x2 = x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply mul_SNo_oneR with
x0.
The subproof is completed by applying H0.