X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_simple_theq.ma;h=478f6fa0584c54a370b2493e6252707b0707a8d1;hp=83c8fd43e5d4e1af2a2419507a8f996c2c92669e;hb=4173283e148199871d787c53c0301891deb90713;hpb=c3832abc23bb0907df2deb6751f4a46d213675b7

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_theq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_theq.ma
index 83c8fd43e..478f6fa05 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_theq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_simple_theq.ma
@@ -12,22 +12,22 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/syntax/theq_simple.ma".
-include "basic_2/syntax/theq_theq.ma".
+include "static_2/syntax/theq_simple.ma".
+include "static_2/syntax/theq_theq.ma".
 include "basic_2/rt_transition/cpx_simple.ma".
 include "basic_2/rt_computation/cpxs.ma".
 include "basic_2/rt_computation/csx_csx.ma".
 
-(* STRONGLY NORMALIZING TERMS FOR UNCOUNTED PARALLEL RT-TRANSITION **********)
+(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
 
 (* Properties with head equivalence for terms *******************************)
 
 (* Basic_1: was just: sn3_appl_appl *)
 (* Basic_2A1: was: csx_appl_simple_tsts *)
-lemma csx_appl_simple_theq: ∀h,o,G,L,V. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃V⦄ → ∀T1. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T1⦄ →
-                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ⩳[h, o] T2 → ⊥) → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃ⓐV.T2⦄) →
-                            𝐒⦃T1⦄ → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃ⓐV.T1⦄.
-#h #o #G #L #V #H @(csx_ind … H) -V
+lemma csx_appl_simple_theq: ∀h,G,L,V. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃V⦄ → ∀T1. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
+                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ⩳ T2 → ⊥) → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T2⦄) →
+                            𝐒⦃T1⦄ → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃ⓐV.T1⦄.
+#h #G #L #V #H @(csx_ind … H) -V
 #V #_ #IHV #T1 #H @(csx_ind … H) -T1
 #T1 #H1T1 #IHT1 #H2T1 #H3T1
 @csx_intro #X #HL #H
@@ -40,7 +40,7 @@ elim (tdneq_inv_pair … H) -H
   @IHV -IHV /4 width=3 by csx_cpx_trans, cpx_pair_sn/
 | -IHV -H1T1 #H1T10
   @(csx_cpx_trans … (ⓐV.T0)) /2 width=1 by cpx_flat/ -HLV0
-  elim (theq_dec h o T1 T0) #H2T10
+  elim (theq_dec T1 T0) #H2T10
   [ @IHT1 -IHT1 /4 width=5 by cpxs_strap2, cpxs_strap1, theq_canc_sn, simple_theq_repl_dx/
   | -IHT1 -H3T1 -H1T10 /3 width=1 by cpx_cpxs/
   ]