X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Ftheq_theq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Ftheq_theq.ma;h=0000000000000000000000000000000000000000;hb=0fea4ed429678c3293027cfe76fdbe15cfa331cb;hp=6b33049eeac80de1668688940ff042e0ca5fcaf3;hpb=bac74b5cff042d37e1abc9c961a6c41094b8a294;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/theq_theq.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/theq_theq.ma deleted file mode 100644 index 6b33049ee..000000000 --- a/matita/matita/contribs/lambdadelta/static_2/syntax/theq_theq.ma +++ /dev/null @@ -1,40 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||M|| *) -(* ||A|| A project by Andrea Asperti *) -(* ||T|| *) -(* ||I|| Developers: *) -(* ||T|| The HELM team. *) -(* ||A|| http://helm.cs.unibo.it *) -(* \ / *) -(* \ / This file is distributed under the terms of the *) -(* v GNU General Public License Version 2 *) -(* *) -(**************************************************************************) - -include "static_2/syntax/theq.ma". - -(* HEAD EQUIVALENCE FOR TERMS ***********************************************) - -(* Main properties **********************************************************) - -(* Basic_1: was: iso_trans *) -(* Basic_2A1: was: tsts_trans *) -theorem theq_trans: Transitive … theq. -#T1 #T * -T1 -T -[ #s1 #s #X #H - elim (theq_inv_sort1 … H) -s /2 width=1 by theq_sort/ -| #i1 #i #H <(theq_inv_lref1 … H) -H // -| #l1 #l #H <(theq_inv_gref1 … H) -H // -| #I #V1 #V #T1 #T #X #H - elim (theq_inv_pair1 … H) -H #V2 #T2 #H destruct // -] -qed-. - -(* Basic_2A1: was: tsts_canc_sn *) -theorem theq_canc_sn: left_cancellable … theq. -/3 width=3 by theq_trans, theq_sym/ qed-. - -(* Basic_2A1: was: tsts_canc_dx *) -theorem theq_canc_dx: right_cancellable … theq. -/3 width=3 by theq_trans, theq_sym/ qed-.