milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / dxprs_dxprs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/dxprs_dxprs.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/dxprs_dxprs.ma
index 772cbd94a62acc7802d75a8fce6c6081e2f0e2e1..f46e256c60d1477ac19389cd6f33aff414db4f17 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/dxprs_dxprs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/dxprs_dxprs.ma
@@ -12,8 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/unwind/sstas_sstas.ma".
-include "basic_2/computation/cprs_cprs.ma".
+include "basic_2/unfold/sstas_sstas.ma".
+include "basic_2/computation/lprs_cprs.ma".
 include "basic_2/computation/dxprs.ma".
 
 (* DECOMPOSED EXTENDED PARALLEL COMPUTATION ON TERMS ************************)
@@ -21,7 +21,7 @@ include "basic_2/computation/dxprs.ma".
 (* Advanced properties ******************************************************)
 
 lemma dxprs_cprs_trans: ∀h,g,L,T1,T,T2.
-                   ⦃h, L⦄ ⊢ T1 •*➡*[g] T → L ⊢ T ➡* T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
+                        ⦃h, L⦄ ⊢ T1 •*➡*[g] T → L ⊢ T ➡* T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
 #h #g #L #T1 #T #T2 * #T0 #HT10 #HT0 #HT2
 lapply (cprs_trans … HT0 … HT2) -T /2 width=3/
 qed-.
@@ -31,3 +31,15 @@ lemma sstas_dxprs_trans: ∀h,g,L,T1,T,T2.
 #h #g #L #T1 #T #T2 #HT1 * #T0 #HT0 #HT02
 lapply (sstas_trans … HT1 … HT0) -T /2 width=3/
 qed-.
+
+(* Advanced inversion lemmas ************************************************)
+
+lemma dxprs_inv_abbr_abst: ∀h,g,a1,a2,L,V1,W2,T1,T2. ⦃h, L⦄ ⊢ ⓓ{a1}V1.T1 •*➡*[g] ⓛ{a2}W2.T2 →
+                           ∃∃T. ⦃h, L.ⓓV1⦄ ⊢ T1 •*➡*[g] T & ⇧[0, 1] ⓛ{a2}W2.T2 ≡ T & a1 = true.
+#h #g #a1 #a2 #L #V1 #W2 #T1 #T2 * #X #H1 #H2
+elim (sstas_inv_bind1 … H1) -H1 #U1 #HTU1 #H destruct
+elim (cprs_inv_abbr1 … H2) -H2 *
+[ #V2 #U2 #HV12 #HU12 #H destruct
+| /3 width=3/
+]
+qed-.