- predefined_virtuals: an addition

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

diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_lcpr.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_lcpr.ma
index 92d30c7fd663da23494af959ca462f8ce04d8f1a..169073516d2f5730b6a2ba0406244049d555fec2 100644 (file)
--- a/matita/matita/contribs/lambda_delta/basic_2/computation/csn_lcpr.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/computation/csn_lcpr.ma
@@ -16,20 +16,20 @@ include "basic_2/grammar/tstc_tstc.ma".
 include "basic_2/computation/cprs_cprs.ma".
 include "basic_2/computation/csn_lift.ma".
 include "basic_2/computation/csn_cpr.ma".
-include "basic_2/computation/csn_cprs.ma".
+include "basic_2/computation/csn_alt.ma".
 
 (* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERMS *****************************)
 
 (* Advanced properties ******************************************************)
 
 lemma csn_lcpr_conf: ∀L1,L2. L1 ⊢ ➡ L2 → ∀T. L1 ⊢ ⬇* T → L2 ⊢ ⬇* T.
-#L1 #L2 #HL12 #T #H @(csn_ind_cprs … H) -T #T #_ #IHT
+#L1 #L2 #HL12 #T #H @(csn_ind_alt … H) -T #T #_ #IHT
 @csn_intro #T0 #HLT0 #HT0
 @IHT /2 width=2/ -IHT -HT0 /2 width=3/
 qed.
 
 lemma csn_abbr: ∀L,V. L ⊢ ⬇* V → ∀T. L. ⓓV ⊢ ⬇* T → L ⊢ ⬇* ⓓV. T.
-#L #V #HV elim HV -V #V #_ #IHV #T #HT @(csn_ind_cprs … HT) -T #T #HT #IHT
+#L #V #HV elim HV -V #V #_ #IHV #T #HT @(csn_ind_alt … HT) -T #T #HT #IHT
 @csn_intro #X #H1 #H2
 elim (cpr_inv_abbr1 … H1) -H1 *
 [ #V0 #V1 #T1 #HLV0 #HLV01 #HLT1 #H destruct
@@ -47,7 +47,7 @@ qed.
 
 fact csn_appl_beta_aux: ∀L,W. L ⊢ ⬇* W → ∀U. L ⊢ ⬇* U →
                         ∀V,T. U = ⓓV. T → L ⊢ ⬇* ⓐV. ⓛW. T.
-#L #W #H elim H -W #W #_ #IHW #X #H @(csn_ind_cprs … H) -X #X #HVT #IHVT #V #T #H destruct
+#L #W #H elim H -W #W #_ #IHW #X #H @(csn_ind_alt … H) -X #X #HVT #IHVT #V #T #H destruct
 lapply (csn_fwd_pair_sn … HVT) #HV
 lapply (csn_fwd_bind_dx … HVT) #HT -HVT
 @csn_intro #X #H #H2
@@ -76,7 +76,7 @@ lemma csn_appl_beta: ∀L,W. L ⊢ ⬇* W → ∀V,T. L ⊢ ⬇* ⓓV. T →
 
 fact csn_appl_theta_aux: ∀L,U. L ⊢ ⬇* U → ∀V1,V2. ⇧[0, 1] V1 ≡ V2 →
                          ∀V,T. U = ⓓV. ⓐV2. T → L ⊢ ⬇* ⓐV1. ⓓV. T.
-#L #X #H @(csn_ind_cprs … H) -X #X #HVT #IHVT #V1 #V2 #HV12 #V #T #H destruct
+#L #X #H @(csn_ind_alt … H) -X #X #HVT #IHVT #V1 #V2 #HV12 #V #T #H destruct
 lapply (csn_fwd_pair_sn … HVT) #HV
 lapply (csn_fwd_bind_dx … HVT) -HVT #HVT
 @csn_intro #X #HL #H