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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ordinal x0.
Let x1 of type ι → ι be given.
Assume H1: SNo_ord_seq x0 x1.
Let x2 of type ι be given.
Assume H2: SNo x2.
Assume H3: 2be79.. x0 x1 x2.
Let x3 of type ι be given.
Assume H4: SNo x3.
Assume H5: 2be79.. x0 x1 x3.
Apply SNoLt_trichotomy_or_impred with x2, x3, x2 = x3 leaving 5 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H4.
Assume H6: SNoLt x2 x3.
Apply FalseE with x2 = x3.
Apply unknownprop_bebf142b4e02bf5be071228ae3a49177bccdb1899cd21e76e8099dcfb6cdf926 with x0, x1, x2, x3 leaving 7 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
The subproof is completed by applying H6.
Assume H6: x2 = x3.
The subproof is completed by applying H6.
Assume H6: SNoLt x3 x2.
Apply FalseE with x2 = x3.
Apply unknownprop_bebf142b4e02bf5be071228ae3a49177bccdb1899cd21e76e8099dcfb6cdf926 with x0, x1, x3, x2 leaving 7 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H4.
The subproof is completed by applying H5.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H6.
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