- we polarized binders to control zeta reduction

[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / computation / cprs.ma

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/cprs.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/cprs.ma
index 5ea230f9b91af1b7d17eda7d453a2779ea36a605..0891cb00cef0fbf84140658716b94c82d9bb5528 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/cprs.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/cprs.ma
@@ -55,11 +55,12 @@ lemma cprs_strap2: ∀L,T1,T,T2.
 /2 width=3/ qed.
 
 (* Note: it does not hold replacing |L1| with |L2| *)
-lemma cprs_lsubs_conf: ∀L1,T1,T2. L1 ⊢ T1 ➡* T2 →
-                       ∀L2. L1 [0, |L1|] ≼ L2 → L2 ⊢ T1 ➡* T2.
+lemma cprs_lsubs_trans: ∀L1,T1,T2. L1 ⊢ T1 ➡* T2 →
+                        ∀L2. L2 ≼ [0, |L1|] L1 → L2 ⊢ T1 ➡* T2.
 /3 width=3/
 qed.
 
+(* Basic_1: was only: pr3_thin_dx *)
 lemma cprs_flat_dx: ∀I,L,V1,V2. L ⊢ V1 ➡ V2 → ∀T1,T2. L ⊢ T1 ➡* T2 →
                     L ⊢ ⓕ{I} V1. T1 ➡* ⓕ{I} V2. T2.
 #I #L #V1 #V2 #HV12 #T1 #T2 #HT12 @(cprs_ind … HT12) -T2 /3 width=1/
@@ -77,8 +78,8 @@ lemma cprs_inv_sort1: ∀L,U2,k. L ⊢ ⋆k ➡* U2 → U2 = ⋆k.
 qed-.
 
 (* Basic_1: was: pr3_gen_cast *)
-lemma cprs_inv_cast1: â\88\80L,W1,T1,U2. L â\8a¢ â\93£W1.T1 ➡* U2 → L ⊢ T1 ➡* U2 ∨
-                      â\88\83â\88\83W2,T2. L â\8a¢ W1 â\9e¡* W2 & L â\8a¢ T1 â\9e¡* T2 & U2 = â\93£W2.T2.
+lemma cprs_inv_cast1: â\88\80L,W1,T1,U2. L â\8a¢ â\93\9dW1.T1 ➡* U2 → L ⊢ T1 ➡* U2 ∨
+                      â\88\83â\88\83W2,T2. L â\8a¢ W1 â\9e¡* W2 & L â\8a¢ T1 â\9e¡* T2 & U2 = â\93\9dW2.T2.
 #L #W1 #T1 #U2 #H @(cprs_ind … H) -U2 /3 width=5/
 #U2 #U #_ #HU2 * /3 width=3/ *
 #W #T #HW1 #HT1 #H destruct
@@ -86,13 +87,15 @@ elim (cpr_inv_cast1 … HU2) -HU2 /3 width=3/ *
 #W2 #T2 #HW2 #HT2 #H destruct /4 width=5/
 qed-.
 
-lemma cprs_inv_cnf1: ∀L,T,U. L ⊢ T ➡* U → L ⊢ 𝐍[T] → T = U.
+(* Basic_1: was: nf2_pr3_unfold *)
+lemma cprs_inv_cnf1: ∀L,T,U. L ⊢ T ➡* U → L ⊢ 𝐍⦃T⦄ → T = U.
 #L #T #U #H @(cprs_ind_dx … H) -T //
 #T0 #T #H1T0 #_ #IHT #H2T0
 lapply (H2T0 … H1T0) -H1T0 #H destruct /2 width=1/
 qed-.
 
-(* Basic_1: removed theorems 6:
+(* Basic_1: removed theorems 10:
    clear_pr3_trans pr3_cflat pr3_gen_bind
+   pr3_head_1 pr3_head_2 pr3_head_21 pr3_head_12
    pr3_iso_appl_bind pr3_iso_appls_appl_bind pr3_iso_appls_bind
 *)