X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Fgrammar%2Fterm.ma;h=d66a9c520860e59448c1e4c6089cdb57c0bfb5e3;hb=48b202cd4ccd3ffc10f9a134314f747fdee30d36;hp=376061b70bb52cef59e3b11c08cb920ab6ba42ff;hpb=d38087520d6ce1d696b28da40f3811291fc8a311;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma b/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma
index 376061b70..d66a9c520 100644
--- a/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/grammar/term.ma
@@ -22,37 +22,57 @@ inductive term: Type[0] ≝
   | TPair: item2 → term → term → term (* binary item construction *)
 .
 
-interpretation "sort (term)" 'Star k = (TAtom (Sort k)).
+interpretation "term construction (atomic)"
+   'Item0 I = (TAtom I).
 
-interpretation "local reference (term)" 'LRef i = (TAtom (LRef i)).
+interpretation "term construction (binary)"
+   'SnItem2 I T1 T2 = (TPair I T1 T2).
 
-interpretation "global reference (term)" 'GRef p = (TAtom (GRef p)).
+interpretation "term binding construction (binary)"
+   'SnBind2 I T1 T2 = (TPair (Bind2 I) T1 T2).
 
-interpretation "term construction (atomic)" 'SItem I = (TAtom I).
+interpretation "term flat construction (binary)"
+   'SnFlat2 I T1 T2 = (TPair (Flat2 I) T1 T2).
 
-interpretation "term construction (binary)" 'SItem I T1 T2 = (TPair I T1 T2).
+interpretation "sort (term)"
+   'Star k = (TAtom (Sort k)).
 
-interpretation "term binding construction (binary)" 'SBind I T1 T2 = (TPair (Bind I) T1 T2).
+interpretation "local reference (term)"
+   'LRef i = (TAtom (LRef i)).
 
-interpretation "term flat construction (binary)" 'SFlat I T1 T2 = (TPair (Flat I) T1 T2).
+interpretation "global reference (term)"
+   'GRef p = (TAtom (GRef p)).
+
+interpretation "abbreviation (term)"
+   'SnAbbr T1 T2 = (TPair (Bind2 Abbr) T1 T2).
+
+interpretation "abstraction (term)"
+   'SnAbst T1 T2 = (TPair (Bind2 Abst) T1 T2).
+
+interpretation "application (term)"
+   'SnAppl T1 T2 = (TPair (Flat2 Appl) T1 T2).
+
+interpretation "native type annotation (term)"
+   'SnCast T1 T2 = (TPair (Flat2 Cast) T1 T2).
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma discr_tpair_xy_x: ∀I,T,V. 𝕔{I} V. T = V → False.
+lemma discr_tpair_xy_x: ∀I,T,V. ②{I} V. T = V → False.
 #I #T #V elim V -V
 [ #J #H destruct
 | #J #W #U #IHW #_ #H destruct
-(*
- (generalize in match e1) -e1 >e0 normalize
-*) -I /2/ (**) (* destruct: one quality is not simplified, the destucted equality is not erased *)
+  -H >e0 in e1; normalize (**) (* destruct: one quality is not simplified, the destucted equality is not erased *)
+  /2 width=1/
 ]
 qed-.
 
 (* Basic_1: was: thead_x_y_y *)
-lemma discr_tpair_xy_y: ∀I,V,T. 𝕔{I} V. T = T → False.
+lemma discr_tpair_xy_y: ∀I,V,T. ②{I} V. T = T → False.
 #I #V #T elim T -T
 [ #J #H destruct
-| #J #W #U #_ #IHU #H destruct -I V /2/ (**) (* destruct: the destucted equality is not erased *)
+| #J #W #U #_ #IHU #H destruct
+  -H (**) (* destruct: the destucted equality is not erased *)
+  /2 width=1/
 ]
 qed-.