X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Flsubsv_lsuba.ma;h=100c34da28c7fae45d9f97f3943e23ff8cd82eb3;hb=ebc33b6d5b68400bc8411973ed4c9ed50d0c52a6;hp=d542b686bfe2c51d7eb2271e671dad3b0351bf9d;hpb=65008df95049eb835941ffea1aa682c9253c4c2b;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma
index d542b686b..100c34da2 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsuba.ma
@@ -17,15 +17,14 @@ include "basic_2/dynamic/lsubsv.ma".
 
 (* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
 
-(* Properties on local environment refinement for atomic arity assignment ***)
-(*
-lamma lsubsv_fwd_lsuba: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 → L1 ⁝⊑ L2.
+(* Forward lemmas on lenv refinement for atomic arity assignment ************)
+
+lemma lsubsv_fwd_lsuba: ∀h,g,L1,L2. h ⊢ L1 ¡⊑[g] L2 → L1 ⁝⊑ L2.
 #h #g #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
-#L1 #L2 #V1 #V2 #W1 #W2 #l #HV1 #HVW1 #HW12 #HW2 #_ #_ #HL12
-elim (snv_fwd_aaa … HV1) -HV1 #A #HV1
-elim (snv_fwd_aaa … HW2) -HW2 #B #HW2
-lapply (ssta_aaa … HV1 … HVW1) -HVW1 #H1
-lapply (lsuba_aaa_trans … HW2 … HL12) #H2
-lapply (aaa_cpcs_mono … HW12 … H1 … H2) -W1 -H2 #H destruct /2 width=3/
+#L1 #L2 #W #V #W1 #V2 #l #HV #HW #_ #_ #_ #IHL12 -W1 -V2
+elim (snv_fwd_aaa … HV) -HV #A #HV
+elim (snv_fwd_aaa … HW) -HW #B #HW
+elim (aaa_inv_cast … HV) #HWA #_
+lapply (lsuba_aaa_trans … HW … IHL12) #HWB
+lapply (aaa_mono … HWB … HWA) -HWB -HWA #H destruct /2 width=3/
 qed-.
-*)