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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: prim1 x0 (4ae4a.. (4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..)))).
Let x1 of type ιο be given.
Assume H1: x1 4a7ef...
Assume H2: x1 (4ae4a.. 4a7ef..).
Assume H3: x1 (4ae4a.. (4ae4a.. 4a7ef..)).
Assume H4: x1 (4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..))).
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with 4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..)), x0, x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H5: prim1 x0 (4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..))).
Apply unknownprop_f024220e6a7fff8a2204de6e8c772bd07090549a0c3549d8f07dd4ceeec2f7f0 with x0, x1 leaving 4 subgoals.
The subproof is completed by applying H5.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Assume H5: x0 = 4ae4a.. (4ae4a.. (4ae4a.. 4a7ef..)).
Apply H5 with λ x2 x3 . x1 x3.
The subproof is completed by applying H4.