commit in ground_2, static_2, basic_2, apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_preserve_far.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_far.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_far.ma
index e8f2c8e2f415dbf91c3de367241d31cdf70a2eb0..971541b21fe05ce14b2b42f6f4a32c379444e8ac 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_far.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_far.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "basic_2/notation/relations/predstar_7.ma".
 include "basic_2/rt_computation/fpbg.ma".
 include "basic_2/rt_computation/cpms_fpbs.ma".
 include "basic_2/dynamic/cnv.ma".
@@ -20,6 +21,13 @@ include "basic_2/dynamic/cnv.ma".
 
 (* Inductive premises for the preservation results **************************)
 
+definition cpsms (n) (h) (o): relation4 genv lenv term term ≝ λG,L,T1,T2.
+                 ∃∃n1,n2,T. T1 ≛[h,o] T → ⊥ & ⦃G, L⦄ ⊢ T1 ➡[n1,h] T & ⦃G, L⦄ ⊢ T ➡*[n2,h] T2 & n1+n2 = n.
+
+interpretation
+   "context-sensitive parallel stratified t-bound  rt-computarion (term)"
+   'PRedStar n h o G L T1 T2 = (cpsms n h o G L T1 T2).
+
 definition IH_cnv_cpm_trans_lpr (a) (h): relation3 genv lenv term ≝
                                 λG,L1,T1. ⦃G, L1⦄ ⊢ T1 ![a,h] →
                                 ∀n,T2. ⦃G, L1⦄ ⊢ T1 ➡[n,h] T2 →
@@ -48,6 +56,12 @@ definition IH_cnv_cpms_conf_lpr (a) (h): relation3 genv lenv term ≝
                                 ∀L1. ⦃G, L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G, L0⦄ ⊢ ➡[h] L2 →
                                 ∃∃T. ⦃G, L1⦄ ⊢ T1 ➡*[n2-n1,h] T & ⦃G, L2⦄ ⊢ T2 ➡*[n1-n2,h] T.
 
+definition IH_cnv_cpsms_conf_lpr (a) (h) (o): relation3 genv lenv term ≝
+                                 λG,L0,T0. ⦃G, L0⦄ ⊢ T0 ![a,h] →
+                                 ∀n1,T1. ⦃G, L0⦄ ⊢ T0 ➡*[n1,h,o] T1 → ∀n2,T2. ⦃G, L0⦄ ⊢ T0 ➡*[n2,h,o] T2 →
+                                 ∀L1. ⦃G, L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G, L0⦄ ⊢ ➡[h] L2 →
+                                 ∃∃T. ⦃G, L1⦄ ⊢ T1 ➡*[n2-n1,h] T & ⦃G, L2⦄ ⊢ T2 ➡*[n1-n2,h] T.
+
 (* Properties for preservation **********************************************)
 
 lemma cnv_cpms_trans_lpr_far (a) (h) (o):