some restyling ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr.ma
index aeb33e6dd65c3bc40417b8cda39d1e6926fd2c55..aa739d6785caccf472c3387bdd7e9563db65a1ff 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr.ma
@@ -26,7 +26,7 @@ interpretation
 (* Basic inversion lemmas ***************************************************)
 
 lemma cnr_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⦄.
+      ∀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 cpr_pair_sn/ -HV2 #H destruct //
 | #T2 #HT2 lapply (HVT1 (ⓛ{p}V1.T2) ?) -HVT1 /2 width=2 by cpm_bind/ -HT2 #H destruct //
@@ -35,7 +35,7 @@ qed-.
 
 (* Basic_2A1: was: cnr_inv_abbr *)
 lemma cnr_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⦄.
+      ∀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 cpr_pair_sn/ -HV2 #H destruct //
 | #T2 #HT2 lapply (HVT1 (-ⓓV1.T2) ?) -HVT1 /2 width=2 by cpm_bind/ -HT2 #H destruct //
@@ -43,7 +43,7 @@ lemma cnr_inv_abbr_neg (h) (G) (L):
 qed-.
 
 (* Basic_2A1: was: cnr_inv_eps *)
-lemma cnr_inv_cast (h) (G) (L): ∀V,T. ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃ⓝV.T⦄ → ⊥.
+lemma cnr_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=4 by cpm_eps, discr_tpair_xy_y/
 qed-.
@@ -51,26 +51,26 @@ qed-.
 (* Basic properties *********************************************************)
 
 (* Basic_1: was: nf2_sort *)
-lemma cnr_sort (h) (G) (L): ∀s. ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃⋆s⦄.
+lemma cnr_sort (h) (G) (L): ∀s. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃⋆s⦄.
 #h #G #L #s #X #H
 >(cpr_inv_sort1 … H) //
 qed.
 
-lemma cnr_gref (h) (G) (L): ∀l. ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃§l⦄.
+lemma cnr_gref (h) (G) (L): ∀l. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃§l⦄.
 #h #G #L #l #X #H
 >(cpr_inv_gref1 … H) //
 qed.
 
 (* Basic_1: was: nf2_abst *)
 lemma cnr_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⦄.
+      ∀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 (cpm_inv_abst1 … H) -H #W0 #T0 #HW0 #HT0 #H destruct
 <(HW … HW0) -W0 <(HT … HT0) -T0 //
 qed.
 
 lemma cnr_abbr_neg (h) (G) (L):
-      ∀V,T. ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃V⦄ → ⦃G, L.ⓓV⦄ ⊢ ➡[h] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃-ⓓV.T⦄.
+      ∀V,T. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃V⦄ → ⦃G,L.ⓓV⦄ ⊢ ➡[h] 𝐍⦃T⦄ → ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃-ⓓV.T⦄.
 #h #G #L #V #T #HV #HT #X #H
 elim (cpm_inv_abbr1 … H) -H *
 [ #V0 #T0 #HV0 #HT0 #H destruct