Let x0 of type ι be given.
Let x1 of type ι be given.
Apply H1 with
even_nat (mul_SNo x0 x1).
Apply mul_nat_mul_SNo with
x0,
x1,
λ x2 x3 . even_nat x2 leaving 3 subgoals.
Apply nat_p_omega with
x0.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply mul_nat_com with
x0,
x1,
λ x2 x3 . even_nat x3 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply omega_nat_p with
x1.
The subproof is completed by applying H2.
Apply unknownprop_8cee5e8832051d733b2e2fcc5efb84026997457a76807022c9037e4a253cef30 with
x1,
x0 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.