some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_cpms_tdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_tdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_tdeq.ma
index 44790ef382c31941c1634b52c648de544f6dbd4b..8394bfa8d5aaffc10be8b317a8ca30419ec20559 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_tdeq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_tdeq.ma
@@ -19,10 +19,10 @@ include "basic_2/dynamic/cnv_cpm_tdeq_trans.ma".
 (* Properties with restricted rt-computation for terms **********************)
 
 fact cpms_tdneq_fwd_step_sn_aux (a) (h) (n) (G) (L) (T1):
-     ∀T2. ⦃G, L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G, L⦄ ⊢ T1 ![a,h] → (T1 ≛ T2 → ⊥) →
+     ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L⦄ ⊢ T1 ![a,h] → (T1 ≛ T2 → ⊥) →
      (∀G0,L0,T0. ⦃G,L,T1⦄ >[h] ⦃G0,L0,T0⦄ → IH_cnv_cpms_conf_lpr a h G0 L0 T0) →
      (∀G0,L0,T0. ⦃G,L,T1⦄ >[h] ⦃G0,L0,T0⦄ → IH_cnv_cpm_trans_lpr a h G0 L0 T0) →
-     ∃∃n1,n2,T0. ⦃G, L⦄ ⊢ T1 ➡[n1,h] T0 & T1 ≛ T0 → ⊥ & ⦃G, L⦄ ⊢ T0 ➡*[n2,h] T2 & n1+n2 = n.
+     ∃∃n1,n2,T0. ⦃G,L⦄ ⊢ T1 ➡[n1,h] T0 & T1 ≛ T0 → ⊥ & ⦃G,L⦄ ⊢ T0 ➡*[n2,h] T2 & n1+n2 = n.
 #a #h #n #G #L #T1 #T2 #H
 @(cpms_ind_sn … H) -n -T1
 [ #_ #H2T2 elim H2T2 -H2T2 //
@@ -43,9 +43,9 @@ fact cpms_tdneq_fwd_step_sn_aux (a) (h) (n) (G) (L) (T1):
 qed-.
 
 fact cpms_tdeq_ind_sn (a) (h) (G) (L) (T2) (Q:relation2 …):
-     (⦃G, L⦄ ⊢ T2 ![a,h] → Q 0 T2) →
-     (∀n1,n2,T1,T. ⦃G,L⦄ ⊢ T1 ➡[n1,h] T → ⦃G, L⦄ ⊢ T1 ![a,h] → T1 ≛ T → ⦃G, L⦄ ⊢ T ➡*[n2,h] T2 → ⦃G, L⦄ ⊢ T ![a,h] → T ≛ T2 → Q n2 T → Q (n1+n2) T1) →
-     ∀n,T1. ⦃G, L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G, L⦄ ⊢ T1 ![a,h] → T1 ≛ T2 →
+     (⦃G,L⦄ ⊢ T2 ![a,h] → Q 0 T2) →
+     (∀n1,n2,T1,T. ⦃G,L⦄ ⊢ T1 ➡[n1,h] T → ⦃G,L⦄ ⊢ T1 ![a,h] → T1 ≛ T → ⦃G,L⦄ ⊢ T ➡*[n2,h] T2 → ⦃G,L⦄ ⊢ T ![a,h] → T ≛ T2 → Q n2 T → Q (n1+n2) T1) →
+     ∀n,T1. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L⦄ ⊢ T1 ![a,h] → T1 ≛ T2 →
      (∀G0,L0,T0. ⦃G,L,T1⦄ >[h] ⦃G0,L0,T0⦄ → IH_cnv_cpms_conf_lpr a h G0 L0 T0) →
      (∀G0,L0,T0. ⦃G,L,T1⦄ >[h] ⦃G0,L0,T0⦄ → IH_cnv_cpm_trans_lpr a h G0 L0 T0) → 
      Q n T1.