syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
index d6538eb9fe7450ef09336496d061185216076e57..322f437124e4b37efefbde394cc60b118da5110f 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs.ma
@@ -13,7 +13,7 @@
 (**************************************************************************)
 
 include "basic_2/notation/relations/predtysnstar_4.ma".
-include "basic_2/relocation/lex.ma".
+include "static_2/relocation/lex.ma".
 include "basic_2/rt_computation/cpxs_ext.ma".
 
 (* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
@@ -46,13 +46,13 @@ lemma lpxs_refl (h) (G): reflexive … (lpxs h G).
 lemma lpxs_inv_atom_sn (h) (G): ∀L2. ⦃G, ⋆⦄ ⊢ ⬈*[h] L2 → L2 = ⋆.
 /2 width=2 by lex_inv_atom_sn/ qed-.
 
-lemma lpxs_inv_bind_sn (h) (G): ∀I1,L2,K1. ⦃G, K1.ⓘ{I1}⦄ ⊢⬈*[h] L2 →
-                                ∃∃I2,K2. ⦃G, K1⦄ ⊢⬈*[h] K2 & ⦃G, K1⦄ ⊢ I1 ⬈*[h] I2 & L2 = K2.ⓘ{I2}.
+lemma lpxs_inv_bind_sn (h) (G): ∀I1,L2,K1. ⦃G, K1.ⓘ{I1}⦄ ⊢ ⬈*[h] L2 →
+                                ∃∃I2,K2. ⦃G, K1⦄ ⊢ ⬈*[h] K2 & ⦃G, K1⦄ ⊢ I1 ⬈*[h] I2 & L2 = K2.ⓘ{I2}.
 /2 width=1 by lex_inv_bind_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_pair1 *)
-lemma lpxs_inv_pair_sn (h) (G): ∀I,L2,K1,V1. ⦃G, K1.ⓑ{I}V1⦄ ⊢⬈*[h] L2 →
-                                ∃∃K2,V2. ⦃G, K1⦄ ⊢⬈*[h] K2 & ⦃G, K1⦄ ⊢ V1 ⬈*[h] V2 & L2 = K2.ⓑ{I}V2.
+lemma lpxs_inv_pair_sn (h) (G): ∀I,L2,K1,V1. ⦃G, K1.ⓑ{I}V1⦄ ⊢ ⬈*[h] L2 →
+                                ∃∃K2,V2. ⦃G, K1⦄ ⊢ ⬈*[h] K2 & ⦃G, K1⦄ ⊢ V1 ⬈*[h] V2 & L2 = K2.ⓑ{I}V2.
 /2 width=1 by lex_inv_pair_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_inv_atom2 *)
@@ -67,15 +67,15 @@ lemma lpxs_inv_pair_dx (h) (G): ∀I,L1,K2,V2. ⦃G, L1⦄ ⊢ ⬈*[h] K2.ⓑ{I}
 (* Basic eliminators ********************************************************)
 
 (* Basic_2A1: was: lpxs_ind_alt *)
-lemma lpxs_ind (h) (G): ∀R:relation lenv.
-                        R (⋆) (⋆) → (
+lemma lpxs_ind (h) (G): ∀Q:relation lenv.
+                        Q (⋆) (⋆) → (
                           ∀I,K1,K2.
                           ⦃G, K1⦄ ⊢ ⬈*[h] K2 →
-                          R K1 K2 → R (K1.ⓘ{I}) (K2.ⓘ{I})
+                          Q K1 K2 → Q (K1.ⓘ{I}) (K2.ⓘ{I})
                         ) → (
                           ∀I,K1,K2,V1,V2.
                           ⦃G, K1⦄ ⊢ ⬈*[h] K2 → ⦃G, K1⦄ ⊢ V1 ⬈*[h] V2 →
-                          R K1 K2 → R (K1.ⓑ{I}V1) (K2.ⓑ{I}V2)
+                          Q K1 K2 → Q (K1.ⓑ{I}V1) (K2.ⓑ{I}V2)
                         ) →
-                        ∀L1,L2. ⦃G, L1⦄ ⊢ ⬈*[h] L2 → R L1 L2.
+                        ∀L1,L2. ⦃G, L1⦄ ⊢ ⬈*[h] L2 → Q L1 L2.
 /3 width=4 by lex_ind/ qed-.