Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with
x0,
x1,
prim1 x2 (4ae4a.. x0) leaving 3 subgoals.
The subproof is completed by applying H1.
Apply unknownprop_4c4b27a97d7f3e81d4abb7629b850d6c55c186f55f30e3dfae132a3ddf1e0a30 with
x0,
x2.
Apply H0 with
x1,
x2 leaving 2 subgoals.
The subproof is completed by applying H3.
The subproof is completed by applying H2.
Assume H3: x1 = x0.
Apply unknownprop_4c4b27a97d7f3e81d4abb7629b850d6c55c186f55f30e3dfae132a3ddf1e0a30 with
x0,
x2.
Apply H3 with
λ x3 x4 . prim1 x2 x3.
The subproof is completed by applying H2.