some restyling ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
index 586c2847f7a6c83b66641bd714504ffd42f0db16..aa206225c6475e422dd4b2e8b1648958ae186fd0 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cpxs.ma
@@ -22,13 +22,13 @@ include "basic_2/rt_computation/csx_csx.ma".
 
 (* Basic_1: was just: sn3_intro *)
 lemma csx_intro_cpxs: ∀h,G,L,T1.
-                      (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄) →
-                      ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄.
+                      (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄) →
+                      ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄.
 /4 width=1 by cpx_cpxs, csx_intro/ qed-.
 
 (* Basic_1: was just: sn3_pr3_trans *)
-lemma csx_cpxs_trans: ∀h,G,L,T1. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-                      ∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
+lemma csx_cpxs_trans: ∀h,G,L,T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
+                      ∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
 #h #G #L #T1 #HT1 #T2 #H @(cpxs_ind … H) -T2
 /2 width=3 by csx_cpx_trans/
 qed-.
@@ -36,11 +36,11 @@ qed-.
 (* Eliminators with unbound context-sensitive rt-computation for terms ******)
 
 lemma csx_ind_cpxs_tdeq: ∀h,G,L. ∀Q:predicate term.
-                         (∀T1. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-                               (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                         (∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
+                               (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                          ) →
-                         ∀T1. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-                         ∀T0. ⦃G, L⦄ ⊢ T1 ⬈*[h] T0 → ∀T2. T0 ≛ T2 → Q T2.
+                         ∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
+                         ∀T0. ⦃G,L⦄ ⊢ T1 ⬈*[h] T0 → ∀T2. T0 ≛ T2 → Q T2.
 #h #G #L #Q #IH #T1 #H @(csx_ind … H) -T1
 #T1 #HT1 #IH1 #T0 #HT10 #T2 #HT02
 @IH -IH /3 width=3 by csx_cpxs_trans, csx_tdeq_trans/ -HT1 #V2 #HTV2 #HnTV2
@@ -60,10 +60,10 @@ qed-.
 
 (* Basic_2A1: was: csx_ind_alt *)
 lemma csx_ind_cpxs: ∀h,G,L. ∀Q:predicate term.
-                    (∀T1. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
-                          (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                    (∀T1. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
+                          (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                     ) →
-                    ∀T. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →  Q T.
+                    ∀T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →  Q T.
 #h #G #L #Q #IH #T #HT
 @(csx_ind_cpxs_tdeq … IH … HT) -IH -HT // (**) (* full auto fails *)
 qed-.