milestone uupdate 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 71cc3f94e2cabd2a39632a44d190bfb39d765a9f..1cdaf8c46b3b86e3702c267ccbbd4d5453ed4dec 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma
@@ -21,21 +21,21 @@ include "basic_2/dynamic/nta.ma".
 (* Properties with rt_computation for terms *********************************)
 
 (* Basic_2A1: was by definition nta_appl ntaa_appl *)
-lemma nta_beta (a) (h) (p) (G) (L):
-      ∀V,W. ⦃G,L⦄ ⊢ V :[a,h] W →
-      ∀T,U. ⦃G,L⦄ ⊢ ⓛ{p}W.T :[a,h] ⓛ{p}W.U → ⦃G,L⦄ ⊢ ⓐV.ⓛ{p}W.T :[a,h] ⓐV.ⓛ{p}W.U.
-#a #h #p #G #L #V #W #H1 #T #U #H2
+lemma nta_beta (a) (h) (p) (G) (K):
+      ∀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
 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_cast, cnv_appl, cpms_bind, cpms_appl_dx/
+/4 width=7 by cnv_bind, cnv_appl, cnv_cast, cpms_appl_dx, cpms_bind_dx/
 qed.
 
 (* Basic_1: was by definition: ty3_appl *)
 (* Basic_2A1: was nta_appl_old *)
-lemma nta_appl (h) (p) (G) (L):
-      ∀V,W. ⦃G,L⦄ ⊢ V :[h] W →
-      ∀T,U. ⦃G,L⦄ ⊢ T :[h] ⓛ{p}W.U → ⦃G,L⦄ ⊢ ⓐV.T :[h] ⓐV.ⓛ{p}W.U.
-#h #p #G #L #V #W #H1 #T #U #H2
+lemma nta_appl (a) (h) (p) (G) (L):
+      ∀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
 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