napply (neq_to_neqIP2022im n2 n1 (symmetric_neq ? n1 n2 H))
##]
nqed.
+
+nlemma IP2022im_is_comparable : comparable.
+ @ IP2022_instr_mode
+ ##[ napply MODE_INH
+ ##| napply forall_IP2022_im
+ ##| napply eq_IP2022_im
+ ##| napply eqIP2022im_to_eq
+ ##| napply eq_to_eqIP2022im
+ ##| napply neqIP2022im_to_neq
+ ##| napply neq_to_neqIP2022im
+ ##| napply decidable_IP2022im
+ ##| napply symmetric_eqIP2022im
+ ##]
+nqed.
+
+unification hint 0 ≔ ⊢ carr IP2022im_is_comparable ≡ IP2022_instr_mode.