generalize in match (refl_eq ? (a i):a i = a i);
generalize in match (a i) in ⊢ (?? % ? → %); intro X; cases X; clear X;
intro; rewrite < H9 in H7; simplify; rewrite < H7; simplify;
- apply (us_phi1 nat_uniform_space ? H3); simplify; apply eq_reflexive;
+ apply (us_phi1 nat_uniform_space ? H3); simplify; apply (eq_reflexive (us_carr nat_uniform_space));
|2: cases (nat_dedekind_sigma_complete_r l u a H1 ? H2);
exists [apply w1]; intros;
apply (restrict nat_ordered_uniform_space l u ??? H4);
generalize in match (refl_eq ? (a i):a i = a i);
generalize in match (a i) in ⊢ (?? % ? → %); intro X; cases X; clear X;
intro; rewrite < H9 in H7; simplify; rewrite < H7; simplify;
- apply (us_phi1 nat_uniform_space ? H3); simplify; apply eq_reflexive;]
+ apply (us_phi1 nat_uniform_space ? H3); simplify; apply (eq_reflexive (us_carr nat_uniform_space));]
qed.