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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: TwoRamseyGraph_3_5_13 x0 x1.
Let x2 of type ιιιιιιιιιιιιιι be given.
Let x3 of type ιιιιιιιιιιιιιι be given.
Assume H1: Church13_p x2.
Assume H2: Church13_p x3.
Assume H3: x1 = x2 0 u1 u2 u3 u4 u5 u6 u7 u8 u9 u10 u11 u12.
Assume H4: x0 = x3 0 u1 u2 u3 u4 u5 u6 u7 u8 u9 u10 u11 u12.
Apply unknownprop_b985bb030ad120a923f32a58b20eca46185cd1d118dc49cd751ca3fb2c7d9cc1 with x2, x3, λ x4 x5 : ι → ι → ι . x5 = λ x6 x7 . x6 leaving 3 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Apply H0 with x3, x2 leaving 4 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
The subproof is completed by applying H4.
The subproof is completed by applying H3.