update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / jsx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx.ma
index a318423b5b1ab82ccd979a4a90b1cd5a498e7888..2e477082b0541abeb609e152e61899d0b9e096d7 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx.ma
@@ -25,7 +25,7 @@ inductive jsx (h) (G): relation lenv ≝
 | jsx_bind: ∀I,K1,K2. jsx h G K1 K2 →
             jsx h G (K1.ⓘ[I]) (K2.ⓘ[I])
 | jsx_pair: ∀I,K1,K2,V. jsx h G K1 K2 →
-            G ⊢ ⬈*[h,V] 𝐒❪K2❫ → jsx h G (K1.ⓑ[I]V) (K2.ⓧ)
+            G ⊢ ⬈*𝐒[h,V] K2 → jsx h G (K1.ⓑ[I]V) (K2.ⓧ)
 .
 
 interpretation
@@ -43,14 +43,15 @@ fact jsx_inv_atom_sn_aux (h) (G):
 ]
 qed-.
 
-lemma jsx_inv_atom_sn (h) (G): ∀L2. G ⊢ ⋆ ⊒[h] L2 → L2 = ⋆.
+lemma jsx_inv_atom_sn (h) (G):
+      ∀L2. G ⊢ ⋆ ⊒[h] L2 → L2 = ⋆.
 /2 width=5 by jsx_inv_atom_sn_aux/ qed-.
 
 fact jsx_inv_bind_sn_aux (h) (G):
      ∀L1,L2. G ⊢ L1 ⊒[h] L2 →
      ∀I,K1. L1 = K1.ⓘ[I] →
      ∨∨ ∃∃K2. G ⊢ K1 ⊒[h] K2 & L2 = K2.ⓘ[I]
-      | ∃∃J,K2,V. G ⊢ K1 ⊒[h] K2 & G ⊢ ⬈*[h,V] 𝐒❪K2❫  & I = BPair J V & L2 = K2.ⓧ.
+      | ∃∃J,K2,V. G ⊢ K1 ⊒[h] K2 & G ⊢ ⬈*𝐒[h,V] K2 & I = BPair J V & L2 = K2.ⓧ.
 #h #G #L1 #L2 * -L1 -L2
 [ #J #L1 #H destruct
 | #I #K1 #K2 #HK12 #J #L1 #H destruct /3 width=3 by ex2_intro, or_introl/
@@ -61,7 +62,7 @@ qed-.
 lemma jsx_inv_bind_sn (h) (G):
      ∀I,K1,L2. G ⊢ K1.ⓘ[I] ⊒[h] L2 →
      ∨∨ ∃∃K2. G ⊢ K1 ⊒[h] K2 & L2 = K2.ⓘ[I]
-      | ∃∃J,K2,V. G ⊢ K1 ⊒[h] K2 & G ⊢ ⬈*[h,V] 𝐒❪K2❫  & I = BPair J V & L2 = K2.ⓧ.
+      | ∃∃J,K2,V. G ⊢ K1 ⊒[h] K2 & G ⊢ ⬈*𝐒[h,V] K2 & I = BPair J V & L2 = K2.ⓧ.
 /2 width=3 by jsx_inv_bind_sn_aux/ qed-.
 
 (* Advanced inversion lemmas ************************************************)
@@ -70,7 +71,7 @@ lemma jsx_inv_bind_sn (h) (G):
 lemma jsx_inv_pair_sn (h) (G):
       ∀I,K1,L2,V. G ⊢ K1.ⓑ[I]V ⊒[h] L2 →
       ∨∨ ∃∃K2. G ⊢ K1 ⊒[h] K2 & L2 = K2.ⓑ[I]V
-       | ∃∃K2. G ⊢ K1 ⊒[h] K2 & G ⊢ ⬈*[h,V] 𝐒❪K2❫ & L2 = K2.ⓧ.
+       | ∃∃K2. G ⊢ K1 ⊒[h] K2 & G ⊢ ⬈*𝐒[h,V] K2 & L2 = K2.ⓧ.
 #h #G #I #K1 #L2 #V #H elim (jsx_inv_bind_sn … H) -H *
 [ /3 width=3 by ex2_intro, or_introl/
 | #J #K2 #X #HK12 #HX #H1 #H2 destruct /3 width=4 by ex3_intro, or_intror/