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Proofgold Proof

pf
Apply unknownprop_7cd03dbfae329617acb8c22c57274b9ce847af995390987fceba274bc1b46dfb with λ x0 x1 . TwoRamseyProp 3 5 (ordsucc x0).
Apply unknownprop_217e5145b65197888461a6aa126b20121c0d56dc8d69d44ac11b973377d98f71 with 2, 4, 11, 5 leaving 4 subgoals.
The subproof is completed by applying nat_11.
The subproof is completed by applying nat_5.
Apply TwoRamseyProp_atleastp_atleastp with 3, 3, 4, 4, 11 leaving 3 subgoals.
The subproof is completed by applying TwoRamseyProp_3_4_11.
The subproof is completed by applying atleastp_ref with 3.
The subproof is completed by applying atleastp_ref with 4.
The subproof is completed by applying unknownprop_678f269783f56623b590ce1d631178bc95b1ef296ba955ebeddcd0dc31626e86 with 5.