some restyling ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
index c44bf1d53abb9acb2b78861ec62b5a939a247e5b..dfbcf7e487e76635ecf64acd42010ef56c7ebc45 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_aaa.ma
@@ -21,7 +21,7 @@ include "basic_2/rt_computation/csx_gcr.ma".
 
 (* Main properties with atomic arity assignment *****************************)
 
-theorem aaa_csx: ∀h,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
+theorem aaa_csx: ∀h,G,L,T,A. ⦃G,L⦄ ⊢ T ⁝ A → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
 #h #G #L #T #A #H
 @(gcr_aaa … (csx_gcp h) (csx_gcr h) … H)
 qed.
@@ -29,32 +29,32 @@ qed.
 (* Advanced eliminators *****************************************************)
 
 fact aaa_ind_csx_aux: ∀h,G,L,A. ∀Q:predicate term.
-                      (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                            (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                      (∀T1. ⦃G,L⦄ ⊢ T1 ⁝ A →
+                            (∀T2. ⦃G,L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                       ) →
-                      ∀T. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A →  Q T.
+                      ∀T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ T ⁝ A →  Q T.
 #h #G #L #A #Q #IH #T #H @(csx_ind … H) -T /4 width=5 by cpx_aaa_conf/
 qed-.
 
 lemma aaa_ind_csx: ∀h,G,L,A. ∀Q:predicate term.
-                   (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                         (∀T2. ⦃G, L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                   (∀T1. ⦃G,L⦄ ⊢ T1 ⁝ A →
+                         (∀T2. ⦃G,L⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                    ) →
-                   ∀T. ⦃G, L⦄ ⊢ T ⁝ A → Q T.
+                   ∀T. ⦃G,L⦄ ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_aux, aaa_csx/ qed-.
 
 fact aaa_ind_csx_cpxs_aux: ∀h,G,L,A. ∀Q:predicate term.
-                           (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                                 (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                           (∀T1. ⦃G,L⦄ ⊢ T1 ⁝ A →
+                                 (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                            ) →
-                           ∀T. ⦃G, L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ T ⁝ A →  Q T.
+                           ∀T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ T ⁝ A →  Q T.
 #h #G #L #A #Q #IH #T #H @(csx_ind_cpxs … H) -T /4 width=5 by cpxs_aaa_conf/
 qed-.
 
 (* Basic_2A1: was: aaa_ind_csx_alt *)
 lemma aaa_ind_csx_cpxs: ∀h,G,L,A. ∀Q:predicate term.
-                        (∀T1. ⦃G, L⦄ ⊢ T1 ⁝ A →
-                              (∀T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
+                        (∀T1. ⦃G,L⦄ ⊢ T1 ⁝ A →
+                              (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → (T1 ≛ T2 → ⊥) → Q T2) → Q T1
                         ) →
-                        ∀T. ⦃G, L⦄ ⊢ T ⁝ A → Q T.
+                        ∀T. ⦃G,L⦄ ⊢ T ⁝ A → Q T.
 /5 width=9 by aaa_ind_csx_cpxs_aux, aaa_csx/ qed-.