Let x0 of type ι → ι → ο be given.
Let x1 of type ι → ι be given.
Assume H1: ∀ x2 x3 . x0 x2 x3 ⟶ x1 x2 = x1 x3.
Let x2 of type ι be given.
Assume H2: x0 x2 x2.
Apply canonical_elt_def_eq with
x0,
x1,
x2,
canonical_elt_def x0 x1 x2 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Apply canonical_elt_def_rel with
x0,
x1,
x2.
The subproof is completed by applying H2.