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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Assume H0: nat_p x2.
Assume H1: nat_p x3.
Assume H2: TwoRamseyProp_atleastp (ordsucc x0) x1 x2.
Assume H3: TwoRamseyProp_atleastp x0 (ordsucc x1) x3.
Apply unknownprop_8aec7aa3dfe2dc8cbf1366cb9f5d8ab2c4ceeb7b1cd3cc933b26d92d53269901 with ordsucc x0, ordsucc x1, ordsucc (add_nat x2 x3).
Apply unknownprop_7894589e92ad65fe6a6a8f12eea7b2520d76849fec738d96171c7ec8a02dfa84 with x0, x1, x2, x3 leaving 4 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.