lambda_delta: global environments handling: redefined and first results

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / unfold / ltpss.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss.ma b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss.ma
index eb02c3a0614fbc52597bfb0136afb6d2f9f17a77..7c86262d9a0d0b91bf5c76466fce76396c0a2b2e 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss.ma
@@ -35,10 +35,10 @@ qed-.
 
 lemma ltpss_strap: ∀L1,L,L2,d,e.
                    L1 [d, e] ≫ L → L [d, e] ≫* L2 → L1 [d, e] ≫* L2. 
-/2/ qed.
+/2 width=3/ qed.
 
 lemma ltpss_refl: ∀L,d,e. L [d, e] ≫* L.
-/2/ qed.
+/2 width=1/ qed.
 
 (* Basic inversion lemmas ***************************************************)
 
@@ -49,15 +49,14 @@ qed-.
 
 lemma ltpss_inv_atom1: ∀d,e,L2. ⋆ [d, e] ≫* L2 → L2 = ⋆.
 #d #e #L2 #H @(ltpss_ind … H) -L2 //
-#L #L2 #_ #HL2 #IHL destruct -L
+#L #L2 #_ #HL2 #IHL destruct
 >(ltps_inv_atom1 … HL2) -HL2 //
 qed-.
 
-fact ltpss_inv_atom2_aux: ∀d,e,L1,L2.
-                          L1 [d, e] ≫* L2 → L2 = ⋆ → L1 = ⋆.
+fact ltpss_inv_atom2_aux: ∀d,e,L1,L2. L1 [d, e] ≫* L2 → L2 = ⋆ → L1 = ⋆.
 #d #e #L1 #L2 #H @(ltpss_ind … H) -L2 //
-#L2 #L #_ #HL2 #IHL2 #H destruct -L;
-lapply (ltps_inv_atom2 … HL2) -HL2 /2/
+#L2 #L #_ #HL2 #IHL2 #H destruct
+lapply (ltps_inv_atom2 … HL2) -HL2 /2 width=1/
 qed.
 
 lemma ltpss_inv_atom2: ∀d,e,L1. L1 [d, e] ≫* ⋆ → L1 = ⋆.
@@ -71,7 +70,7 @@ fact ltps_inv_tps22_aux: ∀d,e,L1,L2. L1 [d, e] ≫ L2 → d = 0 → 0 < e →
 #d #e #L1 #L2 * -d e L1 L2
 [ #d #e #_ #_ #K1 #I #V1 #H destruct
 | #L1 #I #V #_ #H elim (lt_refl_false … H)
-| #L1 #L2 #I #V1 #V2 #e #HL12 #HV12 #_ #_ #K2 #J #W2 #H destruct -L2 I V2 /2 width=5/
+| #L1 #L2 #I #V1 #V2 #e #HL12 #HV12 #_ #_ #K2 #J #W2 #H destruct /2 width=5/
 | #L1 #L2 #I #V1 #V2 #d #e #_ #_ #H elim (plus_S_eq_O_false … H)
 ]
 qed.
@@ -90,8 +89,7 @@ fact ltps_inv_tps12_aux: ∀d,e,L1,L2. L1 [d, e] ≫ L2 → 0 < d →
 [ #d #e #_ #I #K2 #V2 #H destruct
 | #L #I #V #H elim (lt_refl_false … H)
 | #L1 #L2 #I #V1 #V2 #e #_ #_ #H elim (lt_refl_false … H)
-| #L1 #L2 #I #V1 #V2 #d #e #HL12 #HV12 #_ #J #K2 #W2 #H destruct -L2 I V2
-  /2 width=5/
+| #L1 #L2 #I #V1 #V2 #d #e #HL12 #HV12 #_ #J #K2 #W2 #H destruct /2 width=5/
 ]
 qed.
 
@@ -99,5 +97,5 @@ lemma ltps_inv_tps12: ∀L1,K2,I,V2,d,e. L1 [d, e] ≫ K2. 𝕓{I} V2 → 0 < d
                       ∃∃K1,V1. K1 [d - 1, e] ≫ K2 &
                                   K2 ⊢ V1 [d - 1, e] ≫ V2 &
                                   L1 = K1. 𝕓{I} V1.
-/2/ qed.
+/2 width=1/ qed.
 *)