- notation restyling ...

[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 2208557a7c188c950b6d651008fe637a8f36d0a0..3675669c32fdc975b17a567c7ea0d5e44023e51a 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 → ltpr (K1. 𝕓{I} V1) (K2. 𝕓{I} V2) (*𝕓*)
+             ltpr K1 K2 â\86\92 V1 â\9e¡ V2 → ltpr (K1. 𝕓{I} V1) (K2. 𝕓{I} V2) (*𝕓*)
 .
 
 interpretation
@@ -28,13 +28,13 @@ interpretation
 
 (* Basic properties *********************************************************)
 
-lemma ltpr_refl: â\88\80L:lenv. L â\87\92 L.
+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 = ⋆.
+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
@@ -42,11 +42,11 @@ fact ltpr_inv_atom1_aux: ∀L1,L2. L1 ⇒ L2 → L1 = ⋆ → L2 = ⋆.
 qed.
 
 (* Basic_1: was: wcpr0_gen_sort *)
-lemma ltpr_inv_atom1: â\88\80L2. â\8b\86 â\87\92 L2 → L2 = ⋆.
+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 → ∀K1,I,V1. L1 = K1. 𝕓{I} V1 →
-                         â\88\83â\88\83K2,V2. K1 â\87\92 K2 & V1 â\87\92 V2 & L2 = K2. 𝕓{I} V2.
+fact ltpr_inv_pair1_aux: â\88\80L1,L2. L1 â\9e¡ L2 → ∀K1,I,V1. L1 = K1. 𝕓{I} V1 →
+                         â\88\83â\88\83K2,V2. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L2 = K2. 𝕓{I} V2.
 #L1 #L2 * -L1 -L2
 [ #K1 #I #V1 #H destruct
 | #K1 #K2 #I #V1 #V2 #HK12 #HV12 #L #J #W #H destruct /2 width=5/
@@ -54,35 +54,35 @@ fact ltpr_inv_pair1_aux: ∀L1,L2. L1 ⇒ L2 → ∀K1,I,V1. L1 = K1. 𝕓{I} V1
 qed.
 
 (* Basic_1: was: wcpr0_gen_head *)
-lemma ltpr_inv_pair1: â\88\80K1,I,V1,L2. K1. ð\9d\95\93{I} V1 â\87\92 L2 →
-                      â\88\83â\88\83K2,V2. K1 â\87\92 K2 & V1 â\87\92 V2 & L2 = K2. 𝕓{I} V2.
+lemma ltpr_inv_pair1: â\88\80K1,I,V1,L2. K1. ð\9d\95\93{I} V1 â\9e¡ L2 →
+                      â\88\83â\88\83K2,V2. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L2 = K2. 𝕓{I} V2.
 /2 width=3/ qed-.
 
-fact ltpr_inv_atom2_aux: â\88\80L1,L2. L1 â\87\92 L2 → L2 = ⋆ → L1 = ⋆.
+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 = ⋆.
+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 → ∀K2,I,V2. L2 = K2. 𝕓{I} V2 →
-                         â\88\83â\88\83K1,V1. K1 â\87\92 K2 & V1 â\87\92 V2 & L1 = K1. 𝕓{I} V1.
+fact ltpr_inv_pair2_aux: â\88\80L1,L2. L1 â\9e¡ L2 → ∀K2,I,V2. L2 = K2. 𝕓{I} V2 →
+                         â\88\83â\88\83K1,V1. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L1 = K1. 𝕓{I} V1.
 #L1 #L2 * -L1 -L2
 [ #K2 #I #V2 #H destruct
 | #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. 𝕓{I} V2 →
-                      â\88\83â\88\83K1,V1. K1 â\87\92 K2 & V1 â\87\92 V2 & L1 = K1. 𝕓{I} V1.
+lemma ltpr_inv_pair2: â\88\80L1,K2,I,V2. L1 â\9e¡ K2. 𝕓{I} V2 →
+                      â\88\83â\88\83K1,V1. K1 â\9e¡ K2 & V1 â\9e¡ V2 & L1 = K1. 𝕓{I} V1.
 /2 width=3/ qed-.
 
 (* Basic forward lemmas *****************************************************)
 
-lemma ltpr_fwd_length: â\88\80L1,L2. L1 â\87\92 L2 → |L1| = |L2|.
+lemma ltpr_fwd_length: â\88\80L1,L2. L1 â\9e¡ L2 → |L1| = |L2|.
 #L1 #L2 #H elim H -L1 -L2 normalize //
 qed-.