some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cnx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
index 6607013df43ccf24e2f81298b5e7a1ff3237c128..a79e8d74e25bb945fc5dbc152cbd7eb05d4a96fe 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx.ma
@@ -27,8 +27,8 @@ interpretation
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma cnx_inv_abst: ∀h,p,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃ⓛ{p}V.T⦄ →
-                    ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃V⦄ ∧ ⦃G, L.ⓛV⦄ ⊢ ⬈[h] 𝐍⦃T⦄.
+lemma cnx_inv_abst: ∀h,p,G,L,V,T. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃ⓛ{p}V.T⦄ →
+                    ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃V⦄ ∧ ⦃G,L.ⓛV⦄ ⊢ ⬈[h] 𝐍⦃T⦄.
 #h #p #G #L #V1 #T1 #HVT1 @conj
 [ #V2 #HV2 lapply (HVT1 (ⓛ{p}V2.T1) ?) -HVT1 /2 width=2 by cpx_pair_sn/ -HV2
 | #T2 #HT2 lapply (HVT1 (ⓛ{p}V1.T2) ?) -HVT1 /2 width=2 by cpx_bind/ -HT2
@@ -37,8 +37,8 @@ lemma cnx_inv_abst: ∀h,p,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃ⓛ{p}V.T⦄ 
 qed-.
 
 (* Basic_2A1: was: cnx_inv_abbr *)
-lemma cnx_inv_abbr_neg: ∀h,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃-ⓓV.T⦄ →
-                        ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃V⦄ ∧ ⦃G, L.ⓓV⦄ ⊢ ⬈[h] 𝐍⦃T⦄.
+lemma cnx_inv_abbr_neg: ∀h,G,L,V,T. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃-ⓓV.T⦄ →
+                        ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃V⦄ ∧ ⦃G,L.ⓓV⦄ ⊢ ⬈[h] 𝐍⦃T⦄.
 #h #G #L #V1 #T1 #HVT1 @conj
 [ #V2 #HV2 lapply (HVT1 (-ⓓV2.T1) ?) -HVT1 /2 width=2 by cpx_pair_sn/ -HV2 
 | #T2 #HT2 lapply (HVT1 (-ⓓV1.T2) ?) -HVT1 /2 width=2 by cpx_bind/ -HT2
@@ -47,20 +47,20 @@ lemma cnx_inv_abbr_neg: ∀h,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃-ⓓV.T⦄ 
 qed-.
 
 (* Basic_2A1: was: cnx_inv_eps *)
-lemma cnx_inv_cast: ∀h,G,L,V,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃ⓝV.T⦄ → ⊥.
+lemma cnx_inv_cast: ∀h,G,L,V,T. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃ⓝV.T⦄ → ⊥.
 #h #G #L #V #T #H lapply (H T ?) -H
 /2 width=6 by cpx_eps, tdeq_inv_pair_xy_y/
 qed-.
 
 (* Basic properties *********************************************************)
 
-lemma cnx_sort: ∀h,G,L,s. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃⋆s⦄.
+lemma cnx_sort: ∀h,G,L,s. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃⋆s⦄.
 #h #G #L #s #X #H elim (cpx_inv_sort1 … H) -H
 /2 width=1 by tdeq_sort/
 qed.
 
-lemma cnx_abst: ∀h,p,G,L,W,T. ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃W⦄ → ⦃G, L.ⓛW⦄ ⊢ ⬈[h] 𝐍⦃T⦄ →
-                ⦃G, L⦄ ⊢ ⬈[h] 𝐍⦃ⓛ{p}W.T⦄.
+lemma cnx_abst: ∀h,p,G,L,W,T. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃W⦄ → ⦃G,L.ⓛW⦄ ⊢ ⬈[h] 𝐍⦃T⦄ →
+                ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃ⓛ{p}W.T⦄.
 #h #p #G #L #W #T #HW #HT #X #H
 elim (cpx_inv_abst1 … H) -H #W0 #T0 #HW0 #HT0 #H destruct
 @tdeq_pair [ @HW | @HT ] // (**) (* auto fails because δ-expansion gets in the way *)