some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / apps_2 / examples / ex_cpr_omega.ma

diff --git a/matita/matita/contribs/lambdadelta/apps_2/examples/ex_cpr_omega.ma b/matita/matita/contribs/lambdadelta/apps_2/examples/ex_cpr_omega.ma
index bb4edfd6768d3450d671172738f804d4b66ceb01..72b4b347cec85096e2d2960bf72f40a3f309ab43 100644 (file)
--- a/matita/matita/contribs/lambdadelta/apps_2/examples/ex_cpr_omega.ma
+++ b/matita/matita/contribs/lambdadelta/apps_2/examples/ex_cpr_omega.ma
@@ -51,7 +51,7 @@ lapply (cpm_inv_appl1 … H) -H * *
 qed-.
 
 lemma cpr_inv_Delta_sn (h) (G) (L) (s):
-                       ∀X. ⦃G, L⦄ ⊢ Delta s ➡[h] X → Delta s = X.
+                       ∀X. ⦃G,L⦄ ⊢ Delta s ➡[h] X → Delta s = X.
 #h #G #L #s #X #H
 elim (cpm_inv_abst1 … H) -H #X1 #X2 #H1 #H2 #H destruct
 lapply (cpr_inv_sort1 … H1) -H1 #H destruct
@@ -60,19 +60,19 @@ qed-.
 
 (* Main properties **********************************************************)
 
-theorem cpr_Omega_12 (h) (G) (L) (s): ⦃G, L⦄ ⊢ Omega1 s ➡[h] Omega2 s.
+theorem cpr_Omega_12 (h) (G) (L) (s): ⦃G,L⦄ ⊢ Omega1 s ➡[h] Omega2 s.
 /2 width=1 by cpm_beta/ qed.
 
-theorem cpr_Omega_23 (h) (G) (L) (s): ⦃G, L⦄ ⊢ Omega2 s ➡[h] Omega3 s.
+theorem cpr_Omega_23 (h) (G) (L) (s): ⦃G,L⦄ ⊢ Omega2 s ➡[h] Omega3 s.
 /5 width=3 by cpm_eps, cpm_appl, cpm_bind, cpm_delta, Delta_lifts/ qed.
 
-theorem cpr_Omega_31 (h) (G) (L) (s): ⦃G, L⦄ ⊢ Omega3 s ➡[h] Omega1 s.
+theorem cpr_Omega_31 (h) (G) (L) (s): ⦃G,L⦄ ⊢ Omega3 s ➡[h] Omega1 s.
 /4 width=3 by cpm_zeta, Delta_lifts, lifts_flat/ qed.
 
 (* Main inversion properties ************************************************)
 
 theorem cpr_inv_Omega1_sn (h) (G) (L) (s):
-                          ∀X. ⦃G, L⦄ ⊢ Omega1 s ➡[h] X →
+                          ∀X. ⦃G,L⦄ ⊢ Omega1 s ➡[h] X →
                           ∨∨ Omega1 s = X | Omega2 s = X.
 #h #G #L #s #X #H elim (cpm_inv_appl1 … H) -H *
 [ #W2 #T2 #HW2 #HT2 #H destruct
@@ -87,7 +87,7 @@ theorem cpr_inv_Omega1_sn (h) (G) (L) (s):
 ]
 qed-.
 
-theorem cpr_Omega_21_false (h) (G) (L) (s): ⦃G, L⦄ ⊢ Omega2 s ➡[h] Omega1 s → ⊥.
+theorem cpr_Omega_21_false (h) (G) (L) (s): ⦃G,L⦄ ⊢ Omega2 s ➡[h] Omega1 s → ⊥.
 #h #G #L #s #H elim (cpm_inv_bind1 … H) -H *
 [ #W #T #_ #_ whd in ⊢ (??%?→?); #H destruct
 | #X #H #_ #_ #_