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.
The subproof is completed by applying unknownprop_70f06371245ce38fbbca963cb4d7e422ccf350d2e27735c617635b09cbcba701 with
prim2 x2 x3,
91630.. x2.
Apply H0 with
λ x4 x5 . prim1 (91630.. x2) x5.
The subproof is completed by applying L1.
Apply unknownprop_44132e34b8fcc92e54ff875d0e8f6137eeea7d41bb9d4b117dbbbb4d2f239782 with
91630.. x2,
prim2 x0 x1,
91630.. x0,
x0 = x2 leaving 3 subgoals.
The subproof is completed by applying L2.
Apply unknownprop_af9539c7a0a0fd6f75a294ce5650975eaf393e80478d243f2a3f96e46b1a93a1 with
x2,
prim2 x0 x1,
x0 = x2 leaving 2 subgoals.
The subproof is completed by applying H3.
Assume H5:
∀ x4 . prim1 x4 (prim2 x0 x1) ⟶ x4 = x2.
Apply H5 with
x0.
The subproof is completed by applying unknownprop_893870ab8a49d622c10a8fe954eea30d7bd2b94aa27e9c6b21eab85a9f81d115 with x0, x1.
Apply unknownprop_af9539c7a0a0fd6f75a294ce5650975eaf393e80478d243f2a3f96e46b1a93a1 with
x2,
91630.. x0,
x0 = x2 leaving 2 subgoals.
The subproof is completed by applying H3.
Apply H5 with
x0.
The subproof is completed by applying unknownprop_c6d721b795faf1c324094ad380dfe62a3a5dc2ef0b2edf42237be188f6768728 with x0.