Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_e18849ea271b9fad1d1f55210e57a4e42a5b850b4f5bda4268b35baef08a0fd5 with
x1,
x0 ⊆ mul_nat x0 x1 leaving 2 subgoals.
The subproof is completed by applying H1.
Let x2 of type ι be given.
Apply H3 with
λ x3 x4 . x0 ⊆ mul_nat x0 x4.
Apply mul_nat_SR with
x0,
x2,
λ x3 x4 . x0 ⊆ x4 leaving 2 subgoals.
Apply omega_nat_p with
x2.
The subproof is completed by applying H2.
Apply add_nat_Subq_L with
x0,
mul_nat x0 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply mul_nat_p with
x0,
x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply omega_nat_p with
x2.
The subproof is completed by applying H2.