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=48b202cd4ccd3ffc10f9a134314f747fdee30d36;hp=2208557a7c188c950b6d651008fe637a8f36d0a0;hpb=04cd2181640b3828b3d193a8e819c849ef574236;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 2208557a7..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
@@ -28,13 +28,13 @@ interpretation
 
 (* Basic properties *********************************************************)
 
-lemma ltpr_refl: ∀L:lenv. L ⇒ L.
+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 = ⋆.
+fact ltpr_inv_atom1_aux: ∀L1,L2. L1 ➡ 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: ∀L2. ⋆ ⇒ L2 → L2 = ⋆.
+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.
+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 /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: ∀K1,I,V1,L2. K1. 𝕓{I} V1 ⇒ L2 →
-                      ∃∃K2,V2. K1 ⇒ K2 & V1 ⇒ V2 & L2 = K2. 𝕓{I} V2.
+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 = ⋆.
+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 = ⋆.
+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.
+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 /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.
+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|.
+lemma ltpr_fwd_length: ∀L1,L2. L1 ➡ L2 → |L1| = |L2|.
 #L1 #L2 #H elim H -L1 -L2 normalize //
 qed-.