(* *)
(**************************************************************************)
-include "basic_2/notation/relations/crsubeqv_4.ma".
+include "basic_2/notation/relations/lrsubeqv_4.ma".
include "basic_2/dynamic/snv.ma".
(* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
interpretation
"local environment refinement (stratified native validity)"
- 'CrSubEqV h g L1 L2 = (lsubsv h g L1 L2).
+ 'LRSubEqV h g L1 L2 = (lsubsv h g L1 L2).
(* Basic inversion lemmas ***************************************************)
(* Basic_forward lemmas *****************************************************)
-lemma lsubsv_fwd_lsubx: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 → L1 ⓝ⊑ L2.
+lemma lsubsv_fwd_lsubr: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 → L1 ⊑ L2.
#h #g #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
qed-.
lemma lsubsv_cprs_trans: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 →
∀T1,T2. L2 ⊢ T1 ➡* T2 → L1 ⊢ T1 ➡* T2.
-/3 width=5 by lsubsv_fwd_lsubx, lsubx_cprs_trans/
+/3 width=5 by lsubsv_fwd_lsubr, lsubr_cprs_trans/
qed-.