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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0 ∈ omega.
Let x1 of type ι be given.
Assume H1: x1 ∈ omega.
Assume H2: 76fc5.. x0 x1.
Apply H2 with coprime_nat x0 x1.
Assume H3: and (x0 ∈ int_alt1) (x1 ∈ int_alt1).
Assume H4: ∀ x2 . x2 ∈ setminus omega 1 ⟶ divides_int_alt1 x2 x0 ⟶ divides_int_alt1 x2 x1 ⟶ x2 = 1.
Apply and3I with x0 ∈ omega, x1 ∈ omega, ∀ x2 . x2 ∈ setminus omega 1 ⟶ divides_nat x2 x0 ⟶ divides_nat x2 x1 ⟶ x2 = 1 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Let x2 of type ι be given.
Assume H5: x2 ∈ setminus omega 1.
Assume H6: divides_nat x2 x0.
Assume H7: divides_nat x2 x1.
Apply H4 with x2 leaving 3 subgoals.
The subproof is completed by applying H5.
Apply unknownprop_e53fc57e99eabca8b8e8c368b05a0490ce055ed8f71f4da2136aafa03e99b460 with x2, x0.
The subproof is completed by applying H6.
Apply unknownprop_e53fc57e99eabca8b8e8c368b05a0490ce055ed8f71f4da2136aafa03e99b460 with x2, x1.
The subproof is completed by applying H7.
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