Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply unknownprop_36f11cc7571fa2487251d5a7c42936b64e63f594759a4c4f588173d9cd2aec53 with
bc82c.. x2 x1,
f4dc0.. x1,
x0 leaving 4 subgoals.
Apply unknownprop_299d30a485627b811b1bc1069c06f437dd2ea8a2672044e2fbff59d7e1d539c2 with
x2,
x1 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with
x1.
The subproof is completed by applying H1.
The subproof is completed by applying H0.
Apply unknownprop_d8f468fc749efab866c779febbe4cd601b5e2eeaa90e3f207f17de20f4ab68ab with
x2,
x1,
f4dc0.. x1,
λ x3 x4 . 099f3.. x3 (bc82c.. x0 (f4dc0.. x1)) leaving 4 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with
x1.
The subproof is completed by applying H1.
Apply unknownprop_5cbe8643f1e45151334fcd7208ed4c5dc2b120486b5022cdc81170c910647c5d with
x1,
λ x3 x4 . 099f3.. (bc82c.. x2 x4) (bc82c.. x0 (f4dc0.. x1)) leaving 2 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_3201a7f403ac32d9752260880c29e9f9084a9b6a0cf9218208744c4c82940cb1 with
x2,
λ x3 x4 . 099f3.. x4 (bc82c.. x0 (f4dc0.. x1)) leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H3.