milestone update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / feqx_feqx.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma
index 52c7f3109e888ecb3ef395985be4a24fea2bcfa6..dddcb113b99450b11fd6871da1b90fdf95a49a19 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma
@@ -12,13 +12,17 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "static_2/static/reqx_reqx.ma".
+include "static_2/static/feqg_feqg.ma".
 include "static_2/static/feqx.ma".
 
 (* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
 
 (* Advanced properties ******************************************************)
 
+lemma feqx_dec (G1) (G2) (L1) (L2) (T1) (T2):
+      Decidable (❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫).
+/3 width=1 by feqg_dec, sfull_dec/ qed-.
+(*
 lemma feqx_sym: tri_symmetric … feqx.
 #G1 #G2 #L1 #L2 #T1 #T2 * -G1 -L1 -T1
 /3 width=1 by feqx_intro_dx, reqx_sym, teqx_sym/
@@ -32,21 +36,22 @@ theorem feqx_trans: tri_transitive … feqx.
 /4 width=5 by feqx_intro_sn, reqx_trans, teqx_reqx_div, teqx_trans/
 qed-.
 
-theorem feqx_canc_sn: â\88\80G,G1,L,L1,T,T1. â¦\83G,L,Tâ¦\84 â\89\9b â¦\83G1,L1,T1â¦\84→
-                      â\88\80G2,L2,T2. â¦\83G,L,Tâ¦\84 â\89\9b â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 â\89\9b â¦\83G2,L2,T2â¦\84.
+theorem feqx_canc_sn: â\88\80G,G1,L,L1,T,T1. â\9dªG,L,Tâ\9d« â\89\9b â\9dªG1,L1,T1â\9d«→
+                      â\88\80G2,L2,T2. â\9dªG,L,Tâ\9d« â\89\9b â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89\9b â\9dªG2,L2,T2â\9d«.
 /3 width=5 by feqx_trans, feqx_sym/ qed-.
 
-theorem feqx_canc_dx: â\88\80G1,G,L1,L,T1,T. â¦\83G1,L1,T1â¦\84 â\89\9b â¦\83G,L,Tâ¦\84 →
-                      â\88\80G2,L2,T2. â¦\83G2,L2,T2â¦\84 â\89\9b â¦\83G,L,Tâ¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 â\89\9b â¦\83G2,L2,T2â¦\84.
+theorem feqx_canc_dx: â\88\80G1,G,L1,L,T1,T. â\9dªG1,L1,T1â\9d« â\89\9b â\9dªG,L,Tâ\9d« →
+                      â\88\80G2,L2,T2. â\9dªG2,L2,T2â\9d« â\89\9b â\9dªG,L,Tâ\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89\9b â\9dªG2,L2,T2â\9d«.
 /3 width=5 by feqx_trans, feqx_sym/ qed-.
 
 (* Main inversion lemmas with degree-based equivalence on terms *************)
 
-theorem feqx_tneqx_repl_dx: â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â\89\9b â¦\83G2,L2,T2â¦\84 →
-                            â\88\80U1,U2. â¦\83G1,L1,U1â¦\84 â\89\9b â¦\83G2,L2,U2â¦\84 →
+theorem feqx_tneqx_repl_dx: â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â\89\9b â\9dªG2,L2,T2â\9d« →
+                            â\88\80U1,U2. â\9dªG1,L1,U1â\9d« â\89\9b â\9dªG2,L2,U2â\9d« →
                             (T2 ≛ U2 → ⊥) → (T1 ≛ U1 → ⊥).
 #G1 #G2 #L1 #L2 #T1 #T2 #HT #U1 #U2 #HU #HnTU2 #HTU1
 elim (feqx_inv_gen_sn … HT) -HT #_ #_ #HT
 elim (feqx_inv_gen_sn … HU) -HU #_ #_ #HU
 /3 width=5 by teqx_repl/
 qed-.
+*)