some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpms_lpr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma
index a636655eb00dcc6776191d11afb29951e9a86a7f..dc6c0f0651eccaa9bda6dce507b6be0ab2e07e93 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma
@@ -20,8 +20,8 @@ include "basic_2/rt_computation/cpms_cpms.ma".
 (* Properties with parallel rt-transition for full local environments *******)
 
 lemma lpr_cpm_trans (n) (h) (G):
-                    ∀L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡[n, h] T2 →
-                    ∀L1. ⦃G, L1⦄ ⊢ ➡[h] L2 → ⦃G, L1⦄ ⊢ T1 ➡*[n, h] T2.
+                    ∀L2,T1,T2. ⦃G,L2⦄ ⊢ T1 ➡[n,h] T2 →
+                    ∀L1. ⦃G,L1⦄ ⊢ ➡[h] L2 → ⦃G,L1⦄ ⊢ T1 ➡*[n,h] T2.
 #n #h #G #L2 #T1 #T2 #H @(cpm_ind … H) -n -G -L2 -T1 -T2
 [ /2 width=3 by/
 | /3 width=2 by cpm_cpms/
@@ -46,8 +46,8 @@ lemma lpr_cpm_trans (n) (h) (G):
 qed-.
 
 lemma lpr_cpms_trans (n) (h) (G):
-                     ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 →
-                     ∀T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[n, h] T2 → ⦃G, L1⦄ ⊢ T1 ➡*[n, h] T2.
+                     ∀L1,L2. ⦃G,L1⦄ ⊢ ➡[h] L2 →
+                     ∀T1,T2. ⦃G,L2⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L1⦄ ⊢ T1 ➡*[n,h] T2.
 #n #h #G #L1 #L2 #HL12 #T1 #T2 #H @(cpms_ind_sn … H) -n -T1
 /3 width=3 by lpr_cpm_trans, cpms_trans/
 qed-.
@@ -56,14 +56,14 @@ qed-.
 
 (* Basic_2A1: includes cpr_bind2 *)
 lemma cpm_bind2 (n) (h) (G) (L):
-                ∀V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 →
-                ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ➡[n, h] T2 →
-                ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ➡*[n, h] ⓑ{p,I}V2.T2.
+                ∀V1,V2. ⦃G,L⦄ ⊢ V1 ➡[h] V2 →
+                ∀I,T1,T2. ⦃G,L.ⓑ{I}V2⦄ ⊢ T1 ➡[n,h] T2 →
+                ∀p. ⦃G,L⦄ ⊢ ⓑ{p,I}V1.T1 ➡*[n,h] ⓑ{p,I}V2.T2.
 /4 width=5 by lpr_cpm_trans, cpms_bind_dx, lpr_pair/ qed.
 
 (* Basic_2A1: includes cprs_bind2_dx *)
 lemma cpms_bind2_dx (n) (h) (G) (L):
-                    ∀V1,V2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 →
-                    ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ➡*[n, h] T2 →
-                    ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ➡*[n, h] ⓑ{p,I}V2.T2.
+                    ∀V1,V2. ⦃G,L⦄ ⊢ V1 ➡[h] V2 →
+                    ∀I,T1,T2. ⦃G,L.ⓑ{I}V2⦄ ⊢ T1 ➡*[n,h] T2 →
+                    ∀p. ⦃G,L⦄ ⊢ ⓑ{p,I}V1.T1 ➡*[n,h] ⓑ{p,I}V2.T2.
 /4 width=5 by lpr_cpms_trans, cpms_bind_dx, lpr_pair/ qed.