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Proofgold Proof

pf
Assume H0: TwoRamseyProp u4 u4 (prim4 4).
Apply not_TwoRamseyProp_4_4_17.
Apply unknownprop_aae4e03000d6619cc34e5a66244db6980d668b70bdfc22610af1046fd13449ea with u4, u4, prim4 4, u17 leaving 2 subgoals.
Apply atleastp_tra with prim4 4, u16, u17 leaving 2 subgoals.
Apply equip_atleastp with prim4 4, u16.
Apply unknownprop_18dab10013860d442d73fc2b55cfee57e61b2e3044d2d0c29767dba9e5eb2112 with λ x0 x1 . equip (prim4 4) x0.
Apply unknownprop_f5822e9d5891900b4c653eab5e89c5bb71543e61fe2c332750489ecd340604eb with u4.
The subproof is completed by applying nat_4.
Apply nat_In_atleastp with u17, u16 leaving 2 subgoals.
The subproof is completed by applying nat_17.
The subproof is completed by applying ordsuccI2 with u16.
The subproof is completed by applying H0.