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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: SNo x0.
Assume H1: SNo x1.
Let x2 of type ι be given.
Assume H2: x2 ∈ omega.
Assume H3: SNoLt x0 x1.
Apply SNoLt_tra with x0, x1, add_SNo x1 (eps_ x2) leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply SNo_add_SNo with x1, eps_ x2 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply SNo_eps_ with x2.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Apply add_SNo_eps_Lt with x1, x2 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
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