(* Basic_2A1: includes: liftv_nil liftv_cons *)
inductive liftsv (f): relation … ≝
-| liftsv_nil : liftsv f (â\92º) (â\92º)
+| liftsv_nil : liftsv f (â\93\94) (â\93\94)
| liftsv_cons: ∀T1s,T2s,T1,T2.
⇧*[f] T1 ≘ T2 → liftsv f T1s T2s →
liftsv f (T1 ⨮ T1s) (T2 ⨮ T2s)
(* Basic inversion lemmas ***************************************************)
fact liftsv_inv_nil1_aux (f):
- â\88\80X,Y. â\87§*[f] X â\89\98 Y â\86\92 X = â\92º â\86\92 Y = â\92º.
+ â\88\80X,Y. â\87§*[f] X â\89\98 Y â\86\92 X = â\93\94 â\86\92 Y = â\93\94.
#f #X #Y * -X -Y //
#T1s #T2s #T1 #T2 #_ #_ #H destruct
qed-.
(* Basic_2A1: includes: liftv_inv_nil1 *)
lemma liftsv_inv_nil1 (f):
- â\88\80Y. â\87§*[f] â\92º â\89\98 Y â\86\92 Y = â\92º.
+ â\88\80Y. â\87§*[f] â\93\94 â\89\98 Y â\86\92 Y = â\93\94.
/2 width=5 by liftsv_inv_nil1_aux/ qed-.
fact liftsv_inv_cons1_aux (f):
/2 width=3 by liftsv_inv_cons1_aux/ qed-.
fact liftsv_inv_nil2_aux (f):
- â\88\80X,Y. â\87§*[f] X â\89\98 Y â\86\92 Y = â\92º â\86\92 X = â\92º.
+ â\88\80X,Y. â\87§*[f] X â\89\98 Y â\86\92 Y = â\93\94 â\86\92 X = â\93\94.
#f #X #Y * -X -Y //
#T1s #T2s #T1 #T2 #_ #_ #H destruct
qed-.
lemma liftsv_inv_nil2 (f):
- â\88\80X. â\87§*[f] X â\89\98 â\92º â\86\92 X = â\92º.
+ â\88\80X. â\87§*[f] X â\89\98 â\93\94 â\86\92 X = â\93\94.
/2 width=5 by liftsv_inv_nil2_aux/ qed-.
fact liftsv_inv_cons2_aux (f):