some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / rex_fqup.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rex_fqup.ma b/matita/matita/contribs/lambdadelta/static_2/static/rex_fqup.ma
index c45914f342da409b743a97582a826393401a98b2..5c7e82b33c2350d5da2d424a0b518feb0b2813f9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/rex_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/rex_fqup.ma
@@ -20,13 +20,13 @@ include "static_2/static/rex.ma".
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: llpx_sn_refl *)
-lemma rex_refl: ∀R. (∀L. reflexive … (R L)) → ∀L,T. L ⪤[R, T] L.
+lemma rex_refl: ∀R. (∀L. reflexive … (R L)) → ∀L,T. L ⪤[R,T] L.
 #R #HR #L #T elim (frees_total L T)
 /4 width=3 by sex_refl, ext2_refl, ex2_intro/
 qed.
 
 lemma rex_pair_refl: ∀R. (∀L. reflexive … (R L)) →
-                     ∀L,V1,V2. R L V1 V2 → ∀I,T. L.ⓑ{I}V1 ⪤[R, T] L.ⓑ{I}V2.
+                     ∀L,V1,V2. R L V1 V2 → ∀I,T. L.ⓑ{I}V1 ⪤[R,T] L.ⓑ{I}V2.
 #R #HR #L #V1 #V2 #HV12 #I #T
 elim (frees_total (L.ⓑ{I}V1) T) #f #Hf
 elim (pn_split f) * #g #H destruct
@@ -35,15 +35,15 @@ qed.
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma rex_inv_bind_void: ∀R,p,I,L1,L2,V,T. L1 ⪤[R, ⓑ{p,I}V.T] L2 →
-                         L1 ⪤[R, V] L2 ∧ L1.ⓧ ⪤[R, T] L2.ⓧ.
+lemma rex_inv_bind_void: ∀R,p,I,L1,L2,V,T. L1 ⪤[R,ⓑ{p,I}V.T] L2 →
+                         L1 ⪤[R,V] L2 ∧ L1.ⓧ ⪤[R,T] L2.ⓧ.
 #R #p #I #L1 #L2 #V #T * #f #Hf #HL elim (frees_inv_bind_void … Hf) -Hf
 /6 width=6 by sle_sex_trans, sex_inv_tl, sor_inv_sle_dx, sor_inv_sle_sn, ex2_intro, conj/
 qed-.
 
 (* Advanced forward lemmas **************************************************)
 
-lemma rex_fwd_bind_dx_void: ∀R,p,I,L1,L2,V,T. L1 ⪤[R, ⓑ{p,I}V.T] L2 →
-                            L1.ⓧ ⪤[R, T] L2.ⓧ.
+lemma rex_fwd_bind_dx_void: ∀R,p,I,L1,L2,V,T. L1 ⪤[R,ⓑ{p,I}V.T] L2 →
+                            L1.ⓧ ⪤[R,T] L2.ⓧ.
 #R #p #I #L1 #L2 #V #T #H elim (rex_inv_bind_void … H) -H //
 qed-.