X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flprs_cpms.ma;h=ad24e58761d2e5b42d3cda3895cd5823b792e551;hb=31be09cc0d040577917783e050e1d38c0daa8f01;hp=ac04fa427baff8081ffca9bd39bcc63eba080983;hpb=19a25bf176255055193372554437729a6fa1894c;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cpms.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cpms.ma
index ac04fa427..ad24e5876 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cpms.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_cpms.ma
@@ -53,13 +53,21 @@ elim (cpm_inv_abst1 … H2) -H2 #V2 #T2 #HV2 #HT2 #H2 destruct
 /5 width=7 by lprs_cpm_trans, lprs_pair, cprs_step_dx, cpms_trans, ex3_2_intro/
 qed-.
 
+lemma cpms_inv_abst_sn_cprs (h) (n) (p) (G) (L) (W):
+                            ∀T,X. ⦃G,L⦄ ⊢ ⓛ{p}W.T ➡*[n,h] X →
+                            ∃∃U. ⦃G,L.ⓛW⦄⊢ T ➡*[n,h] U & ⦃G,L⦄ ⊢ ⓛ{p}W.U ➡*[h] X.
+#h #n #p #G #L #W #T #X #H
+elim (cpms_inv_abst_sn … H) -H #W0 #U #HW0 #HTU #H destruct
+@(ex2_intro … HTU) /2 width=1 by cpms_bind/
+qed-.
+
 (* Basic_2A1: includes: cprs_inv_abst *)
-lemma cpms_inv_abst_bi (n) (h) (G) (L):
-                       ∀p,W1,W2,T1,T2. ⦃G, L⦄ ⊢ ⓛ{p}W1.T1 ➡*[n, h] ⓛ{p}W2.T2 →
-                       ∧∧ ⦃G, L⦄ ⊢ W1 ➡*[h] W2 & ⦃G, L.ⓛW1⦄ ⊢ T1 ➡*[n, h] T2.
-#n #h #G #L #p #W1 #W2 #T1 #T2 #H
+lemma cpms_inv_abst_bi (n) (h) (p1) (p2) (G) (L):
+                       ∀W1,W2,T1,T2. ⦃G, L⦄ ⊢ ⓛ{p1}W1.T1 ➡*[n, h] ⓛ{p2}W2.T2 →
+                       ∧∧ p1 = p2 & ⦃G, L⦄ ⊢ W1 ➡*[h] W2 & ⦃G, L.ⓛW1⦄ ⊢ T1 ➡*[n, h] T2.
+#n #h #p1 #p2 #G #L #W1 #W2 #T1 #T2 #H
 elim (cpms_inv_abst_sn … H) -H #W #T #HW1 #HT1 #H destruct
-/2 width=1 by conj/
+/2 width=1 by and3_intro/
 qed-.
 
 (* Basic_1: was pr3_gen_abbr *)