Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Apply unknownprop_443bf25288cf39bc78395680f7fe50ad1a2a509c594b439821412f6af4f99866 with
x0,
x1,
λ x6 x7 . 099f3.. x7 (bc82c.. x2 (bc82c.. x3 x4)) leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply unknownprop_4e34a620b1f5496f1d776caaa0190761feb7cd3a7f3cd78c34f9288c12df6d94 with
x3,
x4,
x2,
λ x6 x7 . 099f3.. (bc82c.. x1 x0) x6 leaving 4 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying H2.
Apply unknownprop_3201a7f403ac32d9752260880c29e9f9084a9b6a0cf9218208744c4c82940cb1 with
x0,
λ x6 x7 . 099f3.. (bc82c.. x1 x6) (bc82c.. x3 (bc82c.. x4 x2)) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_9ca494099e5ef6c5c0fab5144433cc95f09299ec9871d2dd517db0aa56252629 with
x1,
x0,
4a7ef..,
x3,
bc82c.. x4 x2,
x5 leaving 8 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
The subproof is completed by applying unknownprop_a66a65189a5389c2141d18df52f52fcf5f074fba68040a0bda3b8b81c830611a.
The subproof is completed by applying H3.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x4,
x2 leaving 2 subgoals.
The subproof is completed by applying H4.
The subproof is completed by applying H2.
The subproof is completed by applying H5.
Apply unknownprop_3201a7f403ac32d9752260880c29e9f9084a9b6a0cf9218208744c4c82940cb1 with
x1,
λ x6 x7 . 099f3.. x7 (bc82c.. x3 x5) leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_443bf25288cf39bc78395680f7fe50ad1a2a509c594b439821412f6af4f99866 with
x3,
x5,
λ x6 x7 . 099f3.. x1 x7 leaving 3 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H5.
The subproof is completed by applying H7.
Apply unknownprop_443bf25288cf39bc78395680f7fe50ad1a2a509c594b439821412f6af4f99866 with
x4,
x2,
λ x6 x7 . 099f3.. (bc82c.. x0 x5) x7 leaving 3 subgoals.
The subproof is completed by applying H4.
The subproof is completed by applying H2.
The subproof is completed by applying H6.