Apply unknownprop_85336ee07ace71a942dc508d3b8c851d9d6bb88511443b7dafbf11b71c263f4d with
λ x0 . ∀ x1 . prim1 x1 x0 ⟶ Subq x1 x0 leaving 2 subgoals.
Let x0 of type ι be given.
Apply FalseE with
Subq x0 4a7ef...
Apply unknownprop_da3368fefc81e401e6446c98c0c04ab87d76d6f97c47fe5fd07c1e3c2f00ef6a with
x0.
The subproof is completed by applying H0.
Let x0 of type ι be given.
Let x1 of type ι be given.
Apply unknownprop_dec2978c0a72cebd51fcab0a380f03d4d80d1ccd8f826d378953148c305a60f0 with
x0,
x1,
Subq x1 (4ae4a.. x0) leaving 3 subgoals.
The subproof is completed by applying H2.
Apply Subq_tra with
x1,
x0,
4ae4a.. x0 leaving 2 subgoals.
Apply H1 with
x1.
The subproof is completed by applying H3.
The subproof is completed by applying unknownprop_4c4b27a97d7f3e81d4abb7629b850d6c55c186f55f30e3dfae132a3ddf1e0a30 with x0.
Assume H3: x1 = x0.
Apply H3 with
λ x2 x3 . Subq x3 (4ae4a.. x0).
The subproof is completed by applying unknownprop_4c4b27a97d7f3e81d4abb7629b850d6c55c186f55f30e3dfae132a3ddf1e0a30 with x0.