Let x0 of type ι be given.
Let x1 of type ι be given.
Apply prop_ext_2 with
Subq x0 x1,
d3786.. x0 x1 = x0 leaving 2 subgoals.
Apply set_ext with
d3786.. x0 x1,
x0 leaving 2 subgoals.
The subproof is completed by applying unknownprop_8f5bf12cfaed0ffd6b0b2703f40521e4f47dbe14ca71e17ebdcebdd96c630d67 with x0, x1.
Apply unknownprop_ca91282e0ce9e0658e00929623a7308f21757843a59143f77f3c318bcf850a5e with
x0,
x1,
x0 leaving 2 subgoals.
The subproof is completed by applying Subq_ref with x0.
The subproof is completed by applying H0.
Apply H0 with
λ x2 x3 . Subq x2 x1.
The subproof is completed by applying unknownprop_8c33f2993dbd85b3390e51467f1f34c3a7271a7424f5fa69403f3fe6fa095bed with x0, x1.