X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flfdeq_fqup.ma;h=c39dd5bbc77b5d01b02b525544a3eb2473d0c038;hb=5c186c72f508da0849058afeecc6877cd9ed6303;hp=b6e2a18f68ef71da9e65ae5d6835603b0c32c034;hpb=b4b5f03ffca4f250a1dc02f277b70e4f33ac8a9b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma index b6e2a18f6..c39dd5bbc 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma @@ -21,3 +21,19 @@ include "basic_2/static/lfdeq.ma". lemma lfdeq_refl: ∀h,o,T. reflexive … (lfdeq h o T). /2 width=1 by lfxs_refl/ qed. + +lemma lfdeq_pair_refl: ∀h,o,V1,V2. V1 ≛[h, o] V2 → + ∀I,L. ∀T:term. L.ⓑ{I}V1 ≛[h, o, T] L.ⓑ{I}V2. +/2 width=1 by lfxs_pair_refl/ qed. + +(* Advanced inversion lemmas ************************************************) + +lemma lfdeq_inv_bind_void: ∀h,o,p,I,L1,L2,V,T. L1 ≛[h, o, ⓑ{p,I}V.T] L2 → + L1 ≛[h, o, V] L2 ∧ L1.ⓧ ≛[h, o, T] L2.ⓧ. +/2 width=3 by lfxs_inv_bind_void/ qed-. + +(* Advanced forward lemmas **************************************************) + +lemma lfdeq_fwd_bind_dx_void: ∀h,o,p,I,L1,L2,V,T. + L1 ≛[h, o, ⓑ{p,I}V.T] L2 → L1.ⓧ ≛[h, o, T] L2.ⓧ. +/2 width=4 by lfxs_fwd_bind_dx_void/ qed-.