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Proofgold Proof

pf
Assume H0: TwoRamseyProp 5 8 (prim4 3).
Apply not_TwoRamseyProp_atleast_3_4_Power_3.
Apply TwoRamseyProp_atleastp_atleastp with 5, 3, 8, 4, prim4 3 leaving 3 subgoals.
The subproof is completed by applying H0.
Apply nat_In_atleastp with 5, 3 leaving 2 subgoals.
The subproof is completed by applying nat_5.
The subproof is completed by applying In_3_5.
Apply nat_In_atleastp with 8, 4 leaving 2 subgoals.
The subproof is completed by applying nat_8.
The subproof is completed by applying In_4_8.