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_fb545b225a42993d98e0d062b6c9208b8321e87814f4e26de3418c134068c2c8 with
bc82c.. x0 (bc82c.. x1 x2),
bc82c.. x1 (bc82c.. x3 x5),
bc82c.. x3 x4 leaving 5 subgoals.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x0,
bc82c.. x1 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x1,
x2 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x1,
bc82c.. x3 x5 leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x3,
x5 leaving 2 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H5.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x3,
x4 leaving 2 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply unknownprop_3341a621e79d3f9f700c2a0db134f89ed08835f1d46a262ace9da8089fc62fd8 with
x0,
x1,
x2,
λ x6 x7 . 099f3.. x7 (bc82c.. x1 (bc82c.. x3 x5)) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
Apply unknownprop_50ea7279d1527aec8642473c7707da12238935f258091dd2df6f6eae075c74e1 with
x1,
bc82c.. x0 x2,
bc82c.. x3 x5 leaving 4 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x0,
x2 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H2.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x3,
x5 leaving 2 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H5.
The subproof is completed by applying H6.
Apply unknownprop_4e34a620b1f5496f1d776caaa0190761feb7cd3a7f3cd78c34f9288c12df6d94 with
x3,
x5,
x1,
λ x6 x7 . 099f3.. x6 (bc82c.. x3 x4) leaving 4 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H5.
The subproof is completed by applying H1.
Apply unknownprop_50ea7279d1527aec8642473c7707da12238935f258091dd2df6f6eae075c74e1 with
x3,
bc82c.. x5 x1,
x4 leaving 4 subgoals.
The subproof is completed by applying H3.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x5,
x1 leaving 2 subgoals.
The subproof is completed by applying H5.
The subproof is completed by applying H1.
The subproof is completed by applying H4.
Apply unknownprop_443bf25288cf39bc78395680f7fe50ad1a2a509c594b439821412f6af4f99866 with
x5,
x1,
λ x6 x7 . 099f3.. x7 x4 leaving 3 subgoals.
The subproof is completed by applying H5.
The subproof is completed by applying H1.
The subproof is completed by applying H7.