Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_8133078cef6240af324afcb2f1d252bca0d0b19fe91aae84b7d12c6e2b758f14 with
x0,
x1,
λ x2 x3 . nat_p x2 leaving 3 subgoals.
Apply nat_p_omega with
x0.
The subproof is completed by applying H0.
Apply nat_p_omega with
x1.
The subproof is completed by applying H1.
Apply add_nat_p with
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.