Let x0 of type ι be given.
Apply set_ext with
e4431.. (f4dc0.. x0),
e4431.. x0 leaving 2 subgoals.
Apply unknownprop_15318642c6583c8aaae77c99bf38263533e68b4d16b9781fdcb393bd0698deae with
x0.
The subproof is completed by applying H0.
Apply unknownprop_3a727fa768d5525d8195bdc93993ff4ea68fc9d53a8aef656546df8c698dedd5 with
x0,
λ x1 x2 . Subq (e4431.. x1) (e4431.. (f4dc0.. x0)) leaving 2 subgoals.
The subproof is completed by applying H0.
Apply unknownprop_15318642c6583c8aaae77c99bf38263533e68b4d16b9781fdcb393bd0698deae with
f4dc0.. x0.
Apply unknownprop_8fbd0c2b48e78882e15936a0ad5f4a3c5af2cb37d9320d8cb210a91462e202ca with
x0.
The subproof is completed by applying H0.