Let x0 of type ι be given.
Apply SNoS_E2 with
omega,
x0,
SNo x0 leaving 3 subgoals.
The subproof is completed by applying omega_ordinal.
Apply unknownprop_1fc7df5df4068e8f70367e459129034ed8bd4d3ba7bb4f460e76807efd078459 with
x0.
The subproof is completed by applying H0.
The subproof is completed by applying H3.