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_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with
x2.
The subproof is completed by applying H2.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with
x5.
The subproof is completed by applying H5.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x0,
x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
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_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with
x0,
x1,
f4dc0.. x2,
λ x6 x7 . 099f3.. x7 (bc82c.. x3 (bc82c.. x4 (f4dc0.. x5))) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying L7.
Apply unknownprop_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with
x3,
x4,
f4dc0.. x5,
λ x6 x7 . 099f3.. (bc82c.. (bc82c.. x0 x1) (f4dc0.. x2)) x7 leaving 4 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
The subproof is completed by applying L8.
Apply unknownprop_606e02916bcab032f521bd9bc6a2ca452051a8946e2632c5c7200ba0c3f3f6a8 with
bc82c.. x3 x4,
x5,
bc82c.. (bc82c.. x0 x1) (f4dc0.. x2) leaving 4 subgoals.
The subproof is completed by applying L10.
The subproof is completed by applying H5.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
bc82c.. x0 x1,
f4dc0.. x2 leaving 2 subgoals.
The subproof is completed by applying L9.
The subproof is completed by applying L7.
Apply unknownprop_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with
bc82c.. x0 x1,
f4dc0.. x2,
x5,
λ x6 x7 . 099f3.. x6 (bc82c.. x3 x4) leaving 4 subgoals.
The subproof is completed by applying L9.
The subproof is completed by applying L7.
The subproof is completed by applying H5.
Apply unknownprop_443bf25288cf39bc78395680f7fe50ad1a2a509c594b439821412f6af4f99866 with
f4dc0.. x2,
x5,
λ x6 x7 . 099f3.. (bc82c.. (bc82c.. x0 x1) x7) (bc82c.. x3 x4) leaving 3 subgoals.
The subproof is completed by applying L7.
The subproof is completed by applying H5.
Apply unknownprop_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with
bc82c.. x0 x1,
x5,
f4dc0.. x2,
λ x6 x7 . 099f3.. x7 (bc82c.. x3 x4) leaving 4 subgoals.
The subproof is completed by applying L9.
The subproof is completed by applying H5.
The subproof is completed by applying L7.
Apply unknownprop_96914bb9daffaeef38a21a7e3a03a04cb36469e2c3f7ee74e48254581be2d703 with
bc82c.. (bc82c.. x0 x1) x5,
x2,
bc82c.. x3 x4 leaving 4 subgoals.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
bc82c.. x0 x1,
x5 leaving 2 subgoals.
The subproof is completed by applying L9.
The subproof is completed by applying H5.
The subproof is completed by applying H2.
The subproof is completed by applying L10.
Apply unknownprop_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with
x0,
x1,
x5,
λ x6 x7 . 099f3.. x6 (bc82c.. (bc82c.. x3 x4) x2) leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H5.
Apply unknownprop_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with
x3,
x4,
x2,
λ x6 x7 . 099f3.. (bc82c.. x0 (bc82c.. x1 x5)) 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.
The subproof is completed by applying H6.