milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpr_tdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_tdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_tdeq.ma
index f4a899d0d661ac62e7fc8e92c9603b784e126b2f..cca5dac392d1d1225e54b7240bde93b06e6971b5 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_tdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_tdeq.ma
@@ -17,13 +17,13 @@ include "basic_2/rt_transition/cpr_drops_basic.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL R-TRANSITION FOR TERMS ************************)
 
-(* Properties with context-free degree-based equivalence ********************)
+(* Properties with context-free sort-irrelevant equivalence *****************)
 
-lemma cpr_abbr_pos (h) (o) (G) (L) (V) (T1):
-                   ∃∃T2. ⦃G,L⦄ ⊢ +ⓓV.T1 ➡[h] T2 & (+ⓓV.T1 ≛[h, o] T2 → ⊥).
-#h #o #G #L #V #U1
+lemma cpr_abbr_pos (h) (G) (L) (V) (T1):
+                   ∃∃T2. ⦃G,L⦄ ⊢ +ⓓV.T1 ➡[h] T2 & (+ⓓV.T1 ≛ T2 → ⊥).
+#h #G #L #V #U1
 elim (cpr_subst h G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2
-elim (tdeq_dec h o U1 U2) [ -HU12 #HU12 | -HTU2 #HnU12 ]
+elim (tdeq_dec U1 U2) [ -HU12 #HU12 | -HTU2 #HnU12 ]
 [ elim (tdeq_inv_lifts_dx … HU12 … HTU2) -U2 #T1 #HTU1 #_ -T2
   /3 width=9 by cpm_zeta, tdeq_lifts_inv_pair_sn, ex2_intro/
 | @(ex2_intro … (+ⓓV.U2)) [ /2 width=1 by cpm_bind/ ] -HU12 #H