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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0: x2int.
Assume H1: divides_int x0 x1.
Apply H1 with divides_int x0 (mul_SNo x1 x2).
Assume H2: and (x0int) (x1int).
Apply H2 with (∃ x3 . and (x3int) (mul_SNo x0 x3 = x1))divides_int x0 (mul_SNo x1 x2).
Assume H3: x0int.
Assume H4: x1int.
Assume H5: ∃ x3 . and (x3int) (mul_SNo x0 x3 = x1).
Apply mul_SNo_oneR with x0, λ x3 x4 . divides_int x3 (mul_SNo x1 x2) leaving 2 subgoals.
Apply int_SNo with x0.
The subproof is completed by applying H3.
Apply divides_int_mul_SNo with x0, 1, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply divides_int_1 with x2.
The subproof is completed by applying H0.