Let x0 of type ι be given.
Apply sqrt_SNo_nonneg_prop1b with
x0 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply SNo_sqrtaux_0_1_prop with
x0 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.