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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 ο be given.
Assume H2: SNoLt x0 x1x2.
Assume H3: SNoLe x1 x0x2.
Apply unknownprop_eb8e8f72a91f1b934993d4cb19c84c8270f73a3626f3022b683d960a7fef89cb with SNoLt x0 x1, SNoLe x1 x0, x2 leaving 3 subgoals.
Apply unknownprop_2b8726e10da51626de4a74fdd313f774029f2321e01ab13b52450d414b9b5de4 with x0, x1 leaving 2 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.