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Proofgold Proof

pf
Apply unknownprop_aae4e03000d6619cc34e5a66244db6980d668b70bdfc22610af1046fd13449ea with 3, 7, 32, prim4 5 leaving 2 subgoals.
Apply equip_atleastp with 32, prim4 5.
Apply equip_sym with prim4 5, 32.
Apply unknownprop_8e67f22739f9a01fd2d9438edd2f3f6d8d323d1fa4d050bc09f5b1af8d3b6dd7 with λ x0 x1 . equip (prim4 5) x0.
Apply unknownprop_f5822e9d5891900b4c653eab5e89c5bb71543e61fe2c332750489ecd340604eb with 5.
The subproof is completed by applying nat_5.
The subproof is completed by applying TwoRamseyProp_3_7_32.