Let x0 of type ι be given.
Let x1 of type ι be given.
Apply mul_nat_com with
x0,
x1,
λ x2 x3 . divides_nat x1 x3 leaving 3 subgoals.
Apply omega_nat_p with
x0.
The subproof is completed by applying H0.
Apply omega_nat_p with
x1.
The subproof is completed by applying H1.
Apply divides_nat_mulR with
x1,
x0 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.