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.
Apply unknownprop_443bf25288cf39bc78395680f7fe50ad1a2a509c594b439821412f6af4f99866 with
x3,
f4dc0.. x2,
λ x4 x5 . bc82c.. (bc82c.. x0 (bc82c.. x1 x2)) x5 = bc82c.. x0 (bc82c.. x1 x3) leaving 3 subgoals.
The subproof is completed by applying H3.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with
x2.
The subproof is completed by applying H2.
Apply unknownprop_72a10a6ff43a547508a4a6b39d7c77eb015a493c1fc838eccd7000515bcd21ff with
x0,
x1,
x2,
x3 leaving 4 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.