milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / nta_cpms.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
index b0530a3bbc83553df50ebc994252c6c58a48bb68..2fbdaa07e5c6891ece5ba3047a95360568c9c534 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
@@ -21,10 +21,10 @@ include "basic_2/dynamic/nta.ma".
 (* Properties with advanced rt_computation for terms ************************)
 
 (* Basic_2A1: was by definition nta_appl ntaa_appl *)
-lemma nta_appl_abst (a) (h) (p) (G) (K):
+lemma nta_appl_abst (a) (h) (p) (G) (K): yinj 0 < a →
       ∀V,W. ⦃G,K⦄ ⊢ V :[a,h] W →
       ∀T,U. ⦃G,K.ⓛW⦄ ⊢ T :[a,h] U → ⦃G,K⦄ ⊢ ⓐV.ⓛ{p}W.T :[a,h] ⓐV.ⓛ{p}W.U.
-#a #h #p #G #K #V #W #H1 #T #U #H2
+#a #h #p #G #K #Ha #V #W #H1 #T #U #H2
 elim (cnv_inv_cast … H1) -H1 #X1 #HW #HV #HWX1 #HVX1
 elim (cnv_inv_cast … H2) -H2 #X2 #HU #HT #HUX2 #HTX2
 /4 width=7 by cnv_bind, cnv_appl, cnv_cast, cpms_appl_dx, cpms_bind_dx/
@@ -32,16 +32,16 @@ qed.
 
 (* Basic_1: was by definition: ty3_appl *)
 (* Basic_2A1: was nta_appl_old *)
-lemma nta_appl (a) (h) (p) (G) (L):
+lemma nta_appl (a) (h) (p) (G) (L): yinj 1 < a →
       ∀V,W. ⦃G,L⦄ ⊢ V :[a,h] W →
       ∀T,U. ⦃G,L⦄ ⊢ T :[a,h] ⓛ{p}W.U → ⦃G,L⦄ ⊢ ⓐV.T :[a,h] ⓐV.ⓛ{p}W.U.
-#a #h #p #G #L #V #W #H1 #T #U #H2
+#a #h #p #G #L #Ha #V #W #H1 #T #U #H2
 elim (cnv_inv_cast … H1) -H1 #X1 #HW #HV #HWX1 #HVX1
 elim (cnv_inv_cast … H2) -H2 #X2 #HU #HT #HUX2 #HTX2
 elim (cpms_inv_abst_sn … HUX2) #W0 #U0 #HW0 #HU0 #H destruct
 elim (cprs_conf … HWX1 … HW0) -HW0 #X0 #HX10 #HWX0
 @(cnv_cast … (ⓐV.ⓛ{p}W0.U0)) (**) (* full auto too slow *)
-[ /3 width=7 by cnv_appl, cpms_bind/
+[ /3 width=7 by cnv_appl, cpms_bind, lt_ylt_trans/
 | /4 width=11 by cnv_appl, cpms_cprs_trans, cpms_bind/
 | /2 width=1 by cpms_appl_dx/
 | /2 width=1 by cpms_appl_dx/