Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ι → ο be given.
Apply unknownprop_8da13791b7dd1ebf2304410ec45eba97dfe397ef11526a77be93821c0ea7f214 with
ad280.. x0 x1,
x1 = d634d.. (ad280.. x0 x1),
λ x3 x4 . x2 x4 x3 leaving 2 subgoals.
Apply unknownprop_942959aad6790cf3a71a2f8f2b9ffc552b42fb28a7f163a4f5e7e7842fdbd934 with
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_be33d753151483c7bac1e70b0036b153d449838792ed17caa64a7328dfc698e0 with
x0,
x1,
λ x3 x4 . ad280.. x0 x1 = ad280.. x4 (d634d.. (ad280.. x0 x1)) ⟶ x1 = d634d.. (ad280.. x0 x1) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_099a43452f71b99572a0fc9274d07254641d0dd9bc5a2bb9941dc1314f377a3f with
x0,
x1,
x0,
d634d.. (ad280.. x0 x1) leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
The subproof is completed by applying H3.