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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: prim1 x0 (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..)).
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with 4ae4a.. (4ae4a.. 4a7ef..), x0, x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H4: prim1 x0 (4ae4a.. (4ae4a.. 4a7ef..)).
Apply unknownprop_285d1412c16abfd3320f0ee89e600fad3199271183754290c3d7bd1f86d5a491 with x0, x1 leaving 3 subgoals.
The subproof is completed by applying H4.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Assume H4: x0 = 4ae4a.. (4ae4a.. 4a7ef..).
Apply H4 with λ x2 x3 . x1 x3.
The subproof is completed by applying H3.