diff -r 4d89d4f0ab17 -r 935f183bf406 src/Sequents/ex/Modal/Tthms.ML --- a/src/Sequents/ex/Modal/Tthms.ML Fri Feb 05 21:12:45 1999 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,31 +0,0 @@ -(* Title: 91/Modal/ex/Tthms - ID: $Id$ - Author: Martin Coen - Copyright 1991 University of Cambridge -*) - -(* Theorems of system T from Hughes and Cresswell and Hailpern, LNCS 129 *) - -try "|- []P --> P"; -try "|- [](P-->Q) --> ([]P-->[]Q)"; (* normality*) -try "|- (P-- []P --> []Q"; -try "|- P --> <>P"; - -try "|- [](P & Q) <-> []P & []Q"; -try "|- <>(P | Q) <-> <>P | <>Q"; -try "|- [](P<->Q) <-> (P>-(P-->Q) <-> ([]P--><>Q)"; -try "|- []P <-> ~<>(~P)"; -try "|- [](~P) <-> ~<>P"; -try "|- ~[]P <-> <>(~P)"; -try "|- [][]P <-> ~<><>(~P)"; -try "|- ~<>(P | Q) <-> ~<>P & ~<>Q"; - -try "|- []P | []Q --> [](P | Q)"; -try "|- <>(P & Q) --> <>P & <>Q"; -try "|- [](P | Q) --> []P | <>Q"; -try "|- <>P & []Q --> <>(P & Q)"; -try "|- [](P | Q) --> <>P | []Q"; -try "|- <>(P-->(Q & R)) --> ([]P --> <>Q) & ([]P--><>R)"; -try "|- (P-- (P-- <>Q --> <>(P & Q)";