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Proofgold Proof

pf
Assume H0: TwoRamseyProp 3 8 (prim4 4).
Apply not_TwoRamseyProp_atleast_3_6_Power_4.
Apply TwoRamseyProp_atleastp_atleastp with 3, 3, 8, 6, prim4 4 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying atleastp_ref with 3.
Apply nat_In_atleastp with 8, 6 leaving 2 subgoals.
The subproof is completed by applying nat_8.
The subproof is completed by applying In_6_8.