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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ιι be given.
Let x2 of type ι be given.
Assume H0: prim1 x2 (3097a.. x0 (λ x3 . x1 x3)).
Claim L1: prim1 (0fc90.. x0 (λ x3 . f482f.. x2 x3)) (3097a.. x0 (λ x3 . x1 x3))
Apply unknownprop_78f4273a7b4d13f02d77d194b65be481121674fd021f4ffb88d69be4bcd0ab71 with x0, λ x3 . x1 x3, λ x3 . f482f.. x2 x3.
Let x3 of type ι be given.
Assume H1: prim1 x3 x0.
Apply unknownprop_c16431872c3632171d44e2f1264db15ffa03222bbf17533f9dd2e335f0e49cd9 with x0, x1, x2, x3 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_37fcf738b3aad2297378a2358f205c1613763d36e48c6969ecd725fbc7fdfb27 with x0, x1, 0fc90.. x0 (λ x3 . f482f.. x2 x3), x2 leaving 3 subgoals.
The subproof is completed by applying L1.
The subproof is completed by applying H0.
Let x3 of type ι be given.
Assume H2: prim1 x3 x0.
Apply unknownprop_b456609235d152f08bccfce314d541d7c44f3716137c00b0ce21cf467ba83d17 with x0, f482f.. x2, x3.
The subproof is completed by applying H2.