X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Freducibility%2Fltpr.ma;h=8e834b2dadaae3d79d6c4ce3961ddcae716fcb85;hb=44c1079dabf1d3c0b69d0155ddbaea8627ec901c;hp=ecb0ad08ceb04959634bfd3b7d9d08ef76fa736a;hpb=f75be90562ddd964ef7ed43b956eb908f3133e3a;p=helm.git

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 ecb0ad08c..8e834b2da 100644
--- 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 → V1 ⇒ V2 → ltpr (K1. 𝕓{I} V1) (K2. 𝕓{I} V2) (*𝕓*)
+             ltpr K1 K2 → V1 ➡ V2 → ltpr (K1. ⓑ{I} V1) (K2. ⓑ{I} V2) (*ⓑ*)
 .
 
 interpretation
@@ -28,62 +28,62 @@ interpretation
 
 (* Basic properties *********************************************************)
 
-lemma ltpr_refl: ∀L:lenv. L ⇒ L.
-#L elim L -L /2/
+lemma ltpr_refl: ∀L:lenv. L ➡ L.
+#L elim L -L // /2 width=1/
 qed.
 
 (* Basic inversion lemmas ***************************************************)
 
-fact ltpr_inv_atom1_aux: ∀L1,L2. L1 ⇒ L2 → L1 = ⋆ → L2 = ⋆.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_atom1_aux: ∀L1,L2. L1 ➡ 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: ∀L2. ⋆ ⇒ L2 → L2 = ⋆.
-/2/ qed.
+lemma ltpr_inv_atom1: ∀L2. ⋆ ➡ L2 → L2 = ⋆.
+/2 width=3/ qed-.
 
-fact ltpr_inv_pair1_aux: ∀L1,L2. L1 ⇒ L2 → ∀K1,I,V1. L1 = K1. 𝕓{I} V1 →
-                         ∃∃K2,V2. K1 ⇒ K2 & V1 ⇒ V2 & L2 = K2. 𝕓{I} V2.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_pair1_aux: ∀L1,L2. L1 ➡ L2 → ∀K1,I,V1. L1 = K1. ⓑ{I} V1 →
+                         ∃∃K2,V2. K1 ➡ K2 & V1 ➡ V2 & L2 = K2. ⓑ{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 →
-                      ∃∃K2,V2. K1 ⇒ K2 & V1 ⇒ V2 & L2 = K2. 𝕓{I} V2.
-/2/ qed.
+lemma ltpr_inv_pair1: ∀K1,I,V1,L2. K1. ⓑ{I} V1 ➡ L2 →
+                      ∃∃K2,V2. K1 ➡ K2 & V1 ➡ V2 & L2 = K2. ⓑ{I} V2.
+/2 width=3/ qed-.
 
-fact ltpr_inv_atom2_aux: ∀L1,L2. L1 ⇒ L2 → L2 = ⋆ → L1 = ⋆.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_atom2_aux: ∀L1,L2. L1 ➡ L2 → L2 = ⋆ → L1 = ⋆.
+#L1 #L2 * -L1 -L2
 [ //
 | #K1 #K2 #I #V1 #V2 #_ #_ #H destruct
 ]
 qed.
 
-lemma ltpr_inv_atom2: ∀L1. L1 ⇒ ⋆ → L1 = ⋆.
-/2/ qed.
+lemma ltpr_inv_atom2: ∀L1. L1 ➡ ⋆ → L1 = ⋆.
+/2 width=3/ qed-.
 
-fact ltpr_inv_pair2_aux: ∀L1,L2. L1 ⇒ L2 → ∀K2,I,V2. L2 = K2. 𝕓{I} V2 →
-                         ∃∃K1,V1. K1 ⇒ K2 & V1 ⇒ V2 & L1 = K1. 𝕓{I} V1.
-#L1 #L2 * -L1 L2
+fact ltpr_inv_pair2_aux: ∀L1,L2. L1 ➡ L2 → ∀K2,I,V2. L2 = K2. ⓑ{I} V2 →
+                         ∃∃K1,V1. K1 ➡ K2 & V1 ➡ V2 & L1 = K1. ⓑ{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: ∀L1,K2,I,V2. L1 ⇒ K2. 𝕓{I} V2 →
-                      ∃∃K1,V1. K1 ⇒ K2 & V1 ⇒ V2 & L1 = K1. 𝕓{I} V1.
-/2/ qed.
+lemma ltpr_inv_pair2: ∀L1,K2,I,V2. L1 ➡ K2. ⓑ{I} V2 →
+                      ∃∃K1,V1. K1 ➡ K2 & V1 ➡ V2 & L1 = K1. ⓑ{I} V1.
+/2 width=3/ qed-.
 
 (* Basic forward lemmas *****************************************************)
 
-lemma ltpr_fwd_length: ∀L1,L2. L1 ⇒ L2 → |L1| = |L2|.
-#L1 #L2 #H elim H -H L1 L2; normalize //
-qed.
+lemma ltpr_fwd_length: ∀L1,L2. L1 ➡ L2 → |L1| = |L2|.
+#L1 #L2 #H elim H -L1 -L2 normalize //
+qed-.
 
 (* Basic_1: removed theorems 2: wcpr0_getl wcpr0_getl_back *)