milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_fqup.ma b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_fqup.ma
index e1a7afb3ae864aec6efded95620f090e19c03249..904bb601bdaa075656965fa91731d540d7588378 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/rdeq_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/rdeq_fqup.ma
@@ -15,25 +15,25 @@
 include "static_2/static/rex_fqup.ma".
 include "static_2/static/rdeq.ma".
 
-(* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
+(* SORT-IRRELEVANT EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ***)
 
 (* Advanced properties ******************************************************)
 
-lemma rdeq_refl: ∀h,o,T. reflexive … (rdeq h o T).
+lemma rdeq_refl: ∀T. reflexive … (rdeq T).
 /2 width=1 by rex_refl/ qed.
 
-lemma rdeq_pair_refl: ∀h,o,V1,V2. V1 ≛[h, o] V2 →
-                      ∀I,L. ∀T:term. L.ⓑ{I}V1 ≛[h, o, T] L.ⓑ{I}V2.
+lemma rdeq_pair_refl: ∀V1,V2. V1 ≛ V2 →
+                      ∀I,L. ∀T:term. L.ⓑ{I}V1 ≛[T] L.ⓑ{I}V2.
 /2 width=1 by rex_pair_refl/ qed.
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma rdeq_inv_bind_void: ∀h,o,p,I,L1,L2,V,T. L1 ≛[h, o, ⓑ{p,I}V.T] L2 →
-                          L1 ≛[h, o, V] L2 ∧ L1.ⓧ ≛[h, o, T] L2.ⓧ.
+lemma rdeq_inv_bind_void: ∀p,I,L1,L2,V,T. L1 ≛[ⓑ{p,I}V.T] L2 →
+                          L1 ≛[V] L2 ∧ L1.ⓧ ≛[T] L2.ⓧ.
 /2 width=3 by rex_inv_bind_void/ qed-.
 
 (* Advanced forward lemmas **************************************************)
 
-lemma rdeq_fwd_bind_dx_void: ∀h,o,p,I,L1,L2,V,T.
-                             L1 ≛[h, o, ⓑ{p,I}V.T] L2 → L1.ⓧ ≛[h, o, T] L2.ⓧ.
+lemma rdeq_fwd_bind_dx_void: ∀p,I,L1,L2,V,T.
+                             L1 ≛[ⓑ{p,I}V.T] L2 → L1.ⓧ ≛[T] L2.ⓧ.
 /2 width=4 by rex_fwd_bind_dx_void/ qed-.