X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Ftheq_simple.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Ftheq_simple.ma;h=0000000000000000000000000000000000000000;hb=0fea4ed429678c3293027cfe76fdbe15cfa331cb;hp=d9f59e4a51ccc87b2ab5173bdc70ba39698259e0;hpb=bac74b5cff042d37e1abc9c961a6c41094b8a294;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple.ma deleted file mode 100644 index d9f59e4a5..000000000 --- a/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple.ma +++ /dev/null @@ -1,31 +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/term_simple.ma". -include "static_2/syntax/theq.ma". - -(* HEAD EQUIVALENCE FOR TERMS ***********************************************) - -(* Properies with simple (neutral) terms ************************************) - -(* Basic_2A1: was: simple_tsts_repl_dx *) -lemma simple_theq_repl_dx: ∀T1,T2. T1 ⩳ T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄. -#T1 #T2 * -T1 -T2 // -#I #V1 #V2 #T1 #T2 #H -elim (simple_inv_pair … H) -H #J #H destruct // -qed-. - -(* Basic_2A1: was: simple_tsts_repl_sn *) -lemma simple_theq_repl_sn: ∀T1,T2. T1 ⩳ T2 → 𝐒⦃T2⦄ → 𝐒⦃T1⦄. -/3 width=3 by simple_theq_repl_dx, theq_sym/ qed-.