- 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 7bfe248954f64fee47f777666f48722852ac4ef8..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
@@ -55,8 +55,8 @@ 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.
 
@@ -78,8 +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
@@ -88,7 +88,7 @@ elim (cpr_inv_cast1 … HU2) -HU2 /3 width=3/ *
 qed-.
 
 (* Basic_1: was: nf2_pr3_unfold *)
-lemma cprs_inv_cnf1: ∀L,T,U. L ⊢ T ➡* U → L ⊢ 𝐍[T] → T = U.
+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/