- support for atomic arities and candidates of reducibility started

[helm.git] / matita / matita / contribs / lambda_delta / Basic_2 / reducibility / cpr.ma

diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr.ma b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr.ma
index 13a5ca15009bf6a84957a48329062c43dd9cee30..3b05c3ea67fc63945a79c43fadb64a421065c9f6 100644 (file)
--- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/cpr.ma
@@ -30,13 +30,13 @@ interpretation
 
 (* Basic_1: was by definition: pr2_free *)
 lemma cpr_pr: ∀T1,T2. T1 ⇒ T2 → ∀L. L ⊢ T1 ⇒ T2.
-/2/ qed.
+/2 width=3/ qed.
 
 lemma cpr_tpss: ∀L,T1,T2,d,e. L ⊢ T1 [d, e] ≫* T2 → L ⊢ T1 ⇒ T2.
 /3 width=5/ qed.
 
 lemma cpr_refl: ∀L,T. L ⊢ T ⇒ T.
-/2/ qed.
+/2 width=1/ qed.
 
 (* Note: new property *)
 (* Basic_1: was only: pr2_thin_dx *) 
@@ -47,7 +47,7 @@ qed.
 
 lemma cpr_cast: ∀L,V,T1,T2.
                 L ⊢ T1 ⇒ T2 → L ⊢ 𝕔{Cast} V. T1 ⇒ T2.
-#L #V #T1 #T2 * /3/
+#L #V #T1 #T2 * /3 width=3/
 qed.
 
 (* Note: it does not hold replacing |L1| with |L2| *)
@@ -55,7 +55,7 @@ qed.
 lemma cpr_lsubs_conf: ∀L1,T1,T2. L1 ⊢ T1 ⇒ T2 →
                       ∀L2. L1 [0, |L1|] ≼ L2 → L2 ⊢ T1 ⇒ T2.
 #L1 #T1 #T2 * #T #HT1 #HT2 #L2 #HL12 
-lapply (tpss_lsubs_conf … HT2 … HL12) -HT2 HL12 /3/
+lapply (tpss_lsubs_conf … HT2 … HL12) -HT2 -HL12 /3 width=4/
 qed.
 
 (* Basic inversion lemmas ***************************************************)
@@ -64,14 +64,14 @@ qed.
 lemma cpr_inv_atom: ∀T1,T2. ⋆ ⊢ T1 ⇒ T2 → T1 ⇒ T2.
 #T1 #T2 * #T #HT normalize #HT2
 <(tpss_inv_refl_O2 … HT2) -HT2 //
-qed.
+qed-.
 
 (* Basic_1: was: pr2_gen_sort *)
 lemma cpr_inv_sort1: ∀L,T2,k. L ⊢ ⋆k ⇒ T2 → T2 = ⋆k.
 #L #T2 #k * #X #H
 >(tpr_inv_atom1 … H) -H #H
 >(tpss_inv_sort1 … H) -H //
-qed.
+qed-.
 
 (* Basic_1: was: pr2_gen_cast *)
 lemma cpr_inv_cast1: ∀L,V1,T1,U2. L ⊢ 𝕔{Cast} V1. T1 ⇒ U2 → (
@@ -79,10 +79,10 @@ lemma cpr_inv_cast1: ∀L,V1,T1,U2. L ⊢ 𝕔{Cast} V1. T1 ⇒ U2 → (
                                  U2 = 𝕔{Cast} V2. T2
                      ) ∨ L ⊢ T1 ⇒ U2.
 #L #V1 #T1 #U2 * #X #H #HU2
-elim (tpr_inv_cast1 … H) -H /3/
-* #V #T #HV1 #HT1 #H destruct -X;
-elim (tpss_inv_flat1 … HU2) -HU2 #V2 #T2 #HV2 #HT2 #H destruct -U2 /4 width=5/
-qed.
+elim (tpr_inv_cast1 … H) -H /3 width=3/
+* #V #T #HV1 #HT1 #H destruct
+elim (tpss_inv_flat1 … HU2) -HU2 #V2 #T2 #HV2 #HT2 #H destruct /4 width=5/
+qed-.
 
 (* Basic_1: removed theorems 5: 
             pr2_head_1 pr2_head_2 pr2_cflat pr2_gen_cflat clear_pr2_trans