Let x0 of type ι be given.
Let x1 of type ι be given.
Apply mul_SNo_zeroR with
x0,
λ x2 x3 . SNoLe x2 (mul_SNo x0 x1) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply nonneg_mul_SNo_Le with
x0,
0,
x1 leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
The subproof is completed by applying SNo_0.
The subproof is completed by applying H1.
The subproof is completed by applying H3.