Let x0 of type ι be given.
Apply unknownprop_03f5f7248b8d06fe27b9a4f75f4e437d5e9b43a9092733e8b3f6dcfe61f5e308 with
x0.
The subproof is completed by applying H0.
Apply unknownprop_67a9b4da3479f0b3ecc9f46f5080b801e2df28e772a8a9215f9b75577fbd1e20 with
x0.
The subproof is completed by applying L1.
Apply unknownprop_30912f2cca40a10142321c491284d8399f9fb6058ea49ef0a3ac5fa1be4efa52 with
x0.
The subproof is completed by applying L2.
Apply unknownprop_85336ee07ace71a942dc508d3b8c851d9d6bb88511443b7dafbf11b71c263f4d with
λ x1 . 616bf.. x0 x1 = bc82c.. x0 x1 leaving 2 subgoals.
Apply unknownprop_3201a7f403ac32d9752260880c29e9f9084a9b6a0cf9218208744c4c82940cb1 with
x0,
λ x1 x2 . 616bf.. x0 4a7ef.. = x2 leaving 2 subgoals.
The subproof is completed by applying L3.
The subproof is completed by applying unknownprop_0d2e8618ea244d22f7cc913b00fa77b277d9ba7cc6a18877e00000ded7fa2c79 with x0.
Let x1 of type ι be given.
Apply unknownprop_5cd31f2e7c0be7d8feb00b0b139d743a6b04d16327b836b00abd17d8b707929f with
x0,
x1,
λ x2 x3 . 616bf.. x0 (4ae4a.. x1) = x3 leaving 3 subgoals.
The subproof is completed by applying L2.
Apply unknownprop_67a9b4da3479f0b3ecc9f46f5080b801e2df28e772a8a9215f9b75577fbd1e20 with
x1.
The subproof is completed by applying H4.
Apply H5 with
λ x2 x3 . 616bf.. x0 (4ae4a.. x1) = 4ae4a.. x2.
Apply unknownprop_52ad2c641f06ccb05422449032c6daa178243ae05b1152998946ffec9f2dc331 with
x0,
x1.
The subproof is completed by applying H4.
Let x1 of type ι be given.
Apply L4 with
x1.
Apply unknownprop_03f5f7248b8d06fe27b9a4f75f4e437d5e9b43a9092733e8b3f6dcfe61f5e308 with
x1.
The subproof is completed by applying H5.