- notation fix for reducible and normal forms

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / reducibility / ltpr.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr.ma b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr.ma
index ecb0ad08ceb04959634bfd3b7d9d08ef76fa736a..8e834b2dadaae3d79d6c4ce3961ddcae716fcb85 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/ltpr.ma
@@ -19,7 +19,7 @@ include "Basic_2/reducibility/tpr.ma".
 inductive ltpr: relation lenv ≝
 | ltpr_stom: ltpr (⋆) (⋆)
 | ltpr_pair: ∀K1,K2,I,V1,V2.
-             ltpr K1 K2 â\86\92 V1 â\87\92 V2 â\86\92 ltpr (K1. ð\9d\95\93{I} V1) (K2. ð\9d\95\93{I} V2) (*ð\9d\95\93*)
+             ltpr K1 K2 â\86\92 V1 â\9e¡ V2 â\86\92 ltpr (K1. â\93\91{I} V1) (K2. â\93\91{I} V2) (*â\93\91*)
 .
 
 interpretation
@@ -28,62 +28,62 @@ interpretation
 
 (* Basic properties *********************************************************)
 
-lemma ltpr_refl: â\88\80L:lenv. L â\87\92 L.
-#L elim L -L /2/
+lemma ltpr_refl: â\88\80L:lenv. L â\9e¡ L.
+#L elim L -L // /2 width=1/
 qed.
 
 (* Basic inversion lemmas ***************************************************)
 
-fact ltpr_inv_atom1_aux: â\88\80L1,L2. L1 â\87\92 L2 → L1 = ⋆ → L2 = ⋆.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_atom1_aux: â\88\80L1,L2. L1 â\9e¡ L2 → L1 = ⋆ → L2 = ⋆.
+#L1 #L2 * -L1 -L2
 [ //
 | #K1 #K2 #I #V1 #V2 #_ #_ #H destruct
 ]
 qed.
 
 (* Basic_1: was: wcpr0_gen_sort *)
-lemma ltpr_inv_atom1: â\88\80L2. â\8b\86 â\87\92 L2 → L2 = ⋆.
-/2/ qed.
+lemma ltpr_inv_atom1: â\88\80L2. â\8b\86 â\9e¡ L2 → L2 = ⋆.
+/2 width=3/ qed-.
 
-fact ltpr_inv_pair1_aux: â\88\80L1,L2. L1 â\87\92 L2 â\86\92 â\88\80K1,I,V1. L1 = K1. ð\9d\95\93{I} V1 →
-                         â\88\83â\88\83K2,V2. K1 â\87\92 K2 & V1 â\87\92 V2 & L2 = K2. ð\9d\95\93{I} V2.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_pair1_aux: â\88\80L1,L2. L1 â\9e¡ L2 â\86\92 â\88\80K1,I,V1. L1 = K1. â\93\91{I} V1 →
+                         â\88\83â\88\83K2,V2. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L2 = K2. â\93\91{I} V2.
+#L1 #L2 * -L1 -L2
 [ #K1 #I #V1 #H destruct
-| #K1 #K2 #I #V1 #V2 #HK12 #HV12 #L #J #W #H destruct - K1 I V1 /2 width=5/
+| #K1 #K2 #I #V1 #V2 #HK12 #HV12 #L #J #W #H destruct /2 width=5/
 ]
 qed.
 
 (* Basic_1: was: wcpr0_gen_head *)
-lemma ltpr_inv_pair1: ∀K1,I,V1,L2. K1. 𝕓{I} V1 ⇒ L2 →
-                      â\88\83â\88\83K2,V2. K1 â\87\92 K2 & V1 â\87\92 V2 & L2 = K2. ð\9d\95\93{I} V2.
-/2/ qed.
+lemma ltpr_inv_pair1: ∀K1,I,V1,L2. K1. ⓑ{I} V1 ➡ L2 →
+                      â\88\83â\88\83K2,V2. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L2 = K2. â\93\91{I} V2.
+/2 width=3/ qed-.
 
-fact ltpr_inv_atom2_aux: â\88\80L1,L2. L1 â\87\92 L2 → L2 = ⋆ → L1 = ⋆.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_atom2_aux: â\88\80L1,L2. L1 â\9e¡ L2 → L2 = ⋆ → L1 = ⋆.
+#L1 #L2 * -L1 -L2
 [ //
 | #K1 #K2 #I #V1 #V2 #_ #_ #H destruct
 ]
 qed.
 
-lemma ltpr_inv_atom2: â\88\80L1. L1 â\87\92 ⋆ → L1 = ⋆.
-/2/ qed.
+lemma ltpr_inv_atom2: â\88\80L1. L1 â\9e¡ ⋆ → L1 = ⋆.
+/2 width=3/ qed-.
 
-fact ltpr_inv_pair2_aux: â\88\80L1,L2. L1 â\87\92 L2 â\86\92 â\88\80K2,I,V2. L2 = K2. ð\9d\95\93{I} V2 →
-                         â\88\83â\88\83K1,V1. K1 â\87\92 K2 & V1 â\87\92 V2 & L1 = K1. ð\9d\95\93{I} V1.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_pair2_aux: â\88\80L1,L2. L1 â\9e¡ L2 â\86\92 â\88\80K2,I,V2. L2 = K2. â\93\91{I} V2 →
+                         â\88\83â\88\83K1,V1. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L1 = K1. â\93\91{I} V1.
+#L1 #L2 * -L1 -L2
 [ #K2 #I #V2 #H destruct
-| #K1 #K2 #I #V1 #V2 #HK12 #HV12 #K #J #W #H destruct -K2 I V2 /2 width=5/
+| #K1 #K2 #I #V1 #V2 #HK12 #HV12 #K #J #W #H destruct /2 width=5/
 ]
 qed.
 
-lemma ltpr_inv_pair2: â\88\80L1,K2,I,V2. L1 â\87\92 K2. ð\9d\95\93{I} V2 →
-                      â\88\83â\88\83K1,V1. K1 â\87\92 K2 & V1 â\87\92 V2 & L1 = K1. ð\9d\95\93{I} V1.
-/2/ qed.
+lemma ltpr_inv_pair2: â\88\80L1,K2,I,V2. L1 â\9e¡ K2. â\93\91{I} V2 →
+                      â\88\83â\88\83K1,V1. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L1 = K1. â\93\91{I} V1.
+/2 width=3/ qed-.
 
 (* Basic forward lemmas *****************************************************)
 
-lemma ltpr_fwd_length: â\88\80L1,L2. L1 â\87\92 L2 → |L1| = |L2|.
-#L1 #L2 #H elim H -H L1 L2; normalize //
-qed.
+lemma ltpr_fwd_length: â\88\80L1,L2. L1 â\9e¡ L2 → |L1| = |L2|.
+#L1 #L2 #H elim H -L1 -L2 normalize //
+qed-.
 
 (* Basic_1: removed theorems 2: wcpr0_getl wcpr0_getl_back *)