update in static_2 and basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_aaa.ma
index c27755124b98282b44ee27c1ccad14d311a6ea9d..2a3eafa2843a4ba0676b69de06371a9700497576 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_aaa.ma
@@ -20,9 +20,9 @@ include "basic_2/dynamic/nta.ma".
 (* Forward lemmas with atomic arity assignment for terms ********************)
 
 (* Note: this means that no type is a universe *)
-lemma nta_fwd_aaa (a) (h) (G) (L):
-      ∀T,U. ⦃G,L⦄ ⊢ T :[a,h] U → ∃∃A. ⦃G,L⦄ ⊢ T ⁝ A & ⦃G,L⦄ ⊢ U ⁝ A.
-#a #h #G #L #T #U #H
+lemma nta_fwd_aaa (h) (a) (G) (L):
+      ∀T,U. ⦃G,L⦄ ⊢ T :[h,a] U → ∃∃A. ⦃G,L⦄ ⊢ T ⁝ A & ⦃G,L⦄ ⊢ U ⁝ A.
+#h #a #G #L #T #U #H
 elim (cnv_fwd_aaa … H) -H #A #H
 elim (aaa_inv_cast … H) -H #HU #HT
 /2 width=3 by ex2_intro/
@@ -31,9 +31,9 @@ qed-.
 (* Advanced inversion lemmas ************************************************)
 
 (* Basic_1: uses: ty3_predicative *)
-lemma nta_abst_predicative (a) (h) (p) (G) (L):
-      ∀W,T. ⦃G,L⦄ ⊢ ⓛ{p}W.T :[a,h] W → ⊥.
-#a #h #p #G #L #W #T #H
+lemma nta_abst_predicative (h) (a) (p) (G) (L):
+      ∀W,T. ⦃G,L⦄ ⊢ ⓛ{p}W.T :[h,a] W → ⊥.
+#h #a #p #G #L #W #T #H
 elim (nta_fwd_aaa … H) -a -h #X #H #H1W
 elim (aaa_inv_abst … H) -p #B #A #H2W #_ #H destruct -T
 lapply (aaa_mono … H1W … H2W) -G -L -W #H
@@ -41,10 +41,10 @@ elim (discr_apair_xy_x … H)
 qed-.
 
 (* Basic_1: uses: ty3_repellent *)
-theorem nta_abst_repellent (a) (h) (p) (G) (K):
-        ∀W,T,U1. ⦃G,K⦄ ⊢ ⓛ{p}W.T :[a,h] U1 →
-        ∀U2. ⦃G,K.ⓛW⦄ ⊢ T :[a,h] U2 → ⬆*[1] U1 ≘ U2 → ⊥.
-#a #h #p #G #K #W #T #U1 #H1 #U2 #H2 #HU12
+theorem nta_abst_repellent (h) (a) (p) (G) (K):
+        ∀W,T,U1. ⦃G,K⦄ ⊢ ⓛ{p}W.T :[h,a] U1 →
+        ∀U2. ⦃G,K.ⓛW⦄ ⊢ T :[h,a] U2 → ⬆*[1] U1 ≘ U2 → ⊥.
+#h #a #p #G #K #W #T #U1 #H1 #U2 #H2 #HU12
 elim (nta_fwd_aaa … H2) -H2 #A2 #H2T #H2U2
 elim (nta_fwd_aaa … H1) -H1 #X1 #H1 #HU1
 elim (aaa_inv_abst … H1) -a -h -p #B #A1 #_ #H1T #H destruct