milestone in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_fqup.ma
index 2913cb998f792b9dc0b0b10fcaf6ddafdf9d8468..7906406ebe0be82fefbb7d1e5bd0c2f14c02b2c9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_fqup.ma
@@ -20,8 +20,8 @@ include "basic_2/rt_computation/rdsx.ma".
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: lsx_atom *)
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: lsx_atom *)

-lemma lfsx_atom (h) (o) (G) (T): G ⊢ ⬈*[h, o, T] 𝐒⦃⋆⦄.
-#h #o #G #T
+lemma lfsx_atom (h) (G) (T): G ⊢ ⬈*[h, T] 𝐒⦃⋆⦄.
+#h #G #T

 @rdsx_intro #Y #H #HnT
 lapply (lpx_inv_atom_sn … H) -H #H destruct
 elim HnT -HnT //
 @rdsx_intro #Y #H #HnT
 lapply (lpx_inv_atom_sn … H) -H #H destruct
 elim HnT -HnT //


@@ -32,10 +32,10 @@ qed.
 (* Basic_2A1: uses: lsx_fwd_bind_dx *)
 (* Note: the exclusion binder (ⓧ) makes this more elegant and much simpler *)
 (* Note: the old proof without the exclusion binder requires lreq *)
 (* Basic_2A1: uses: lsx_fwd_bind_dx *)
 (* Note: the exclusion binder (ⓧ) makes this more elegant and much simpler *)
 (* Note: the old proof without the exclusion binder requires lreq *)

-lemma rdsx_fwd_bind_dx (h) (o) (G):
-                       ∀p,I,L,V,T. G ⊢ ⬈*[h, o, ⓑ{p,I}V.T] 𝐒⦃L⦄ →
-                       G ⊢ ⬈*[h, o, T] 𝐒⦃L.ⓧ⦄.
-#h #o #G #p #I #L #V #T #H
+lemma rdsx_fwd_bind_dx (h) (G):
+                       ∀p,I,L,V,T. G ⊢ ⬈*[h, ⓑ{p,I}V.T] 𝐒⦃L⦄ →
+                       G ⊢ ⬈*[h, T] 𝐒⦃L.ⓧ⦄.
+#h #G #p #I #L #V #T #H

 @(rdsx_ind … H) -L #L1 #_ #IH
 @rdsx_intro #Y #H #HT
 elim (lpx_inv_unit_sn … H) -H #L2 #HL12 #H destruct
 @(rdsx_ind … H) -L #L1 #_ #IH
 @rdsx_intro #Y #H #HT
 elim (lpx_inv_unit_sn … H) -H #L2 #HL12 #H destruct


@@ -45,6 +45,7 @@ qed-.
 (* Advanced inversion lemmas ************************************************)
 
 (* Basic_2A1: uses: lsx_inv_bind *)
 (* Advanced inversion lemmas ************************************************)
 
 (* Basic_2A1: uses: lsx_inv_bind *)

-lemma rdsx_inv_bind (h) (o) (G): ∀p,I,L,V,T. G ⊢ ⬈*[h, o, ⓑ{p,I}V.T] 𝐒⦃L⦄ →
-                                 ∧∧ G ⊢ ⬈*[h, o, V] 𝐒⦃L⦄ & G ⊢ ⬈*[h, o, T] 𝐒⦃L.ⓧ⦄.
+lemma rdsx_inv_bind (h) (G):
+      ∀p,I,L,V,T. G ⊢ ⬈*[h, ⓑ{p,I}V.T] 𝐒⦃L⦄ →
+      ∧∧ G ⊢ ⬈*[h, V] 𝐒⦃L⦄ & G ⊢ ⬈*[h, T] 𝐒⦃L.ⓧ⦄.

 /3 width=4 by rdsx_fwd_pair_sn, rdsx_fwd_bind_dx, conj/ qed-.
 /3 width=4 by rdsx_fwd_pair_sn, rdsx_fwd_bind_dx, conj/ qed-.