diff -r 3567d0571932 -r 8feb2c4bef1a src/FOLP/ex/If.thy --- a/src/FOLP/ex/If.thy Fri Apr 23 23:33:48 2010 +0200 +++ b/src/FOLP/ex/If.thy Fri Apr 23 23:35:43 2010 +0200 @@ -5,14 +5,14 @@ definition "if" :: "[o,o,o]=>o" where "if(P,Q,R) == P&Q | ~P&R" -lemma ifI: +schematic_lemma ifI: assumes "!!x. x : P ==> f(x) : Q" "!!x. x : ~P ==> g(x) : R" shows "?p : if(P,Q,R)" apply (unfold if_def) apply (tactic {* fast_tac (FOLP_cs addIs @{thms assms}) 1 *}) done -lemma ifE: +schematic_lemma ifE: assumes 1: "p : if(P,Q,R)" and 2: "!!x y. [| x : P; y : Q |] ==> f(x, y) : S" and 3: "!!x y. [| x : ~P; y : R |] ==> g(x, y) : S" @@ -22,7 +22,7 @@ apply (tactic {* fast_tac (FOLP_cs addIs [@{thm 2}, @{thm 3}]) 1 *}) done -lemma if_commute: "?p : if(P, if(Q,A,B), if(Q,C,D)) <-> if(Q, if(P,A,C), if(P,B,D))" +schematic_lemma if_commute: "?p : if(P, if(Q,A,B), if(Q,C,D)) <-> if(Q, if(P,A,C), if(P,B,D))" apply (rule iffI) apply (erule ifE) apply (erule ifE) @@ -32,11 +32,11 @@ ML {* val if_cs = FOLP_cs addSIs [@{thm ifI}] addSEs [@{thm ifE}] *} -lemma if_commute: "?p : if(P, if(Q,A,B), if(Q,C,D)) <-> if(Q, if(P,A,C), if(P,B,D))" +schematic_lemma if_commute: "?p : if(P, if(Q,A,B), if(Q,C,D)) <-> if(Q, if(P,A,C), if(P,B,D))" apply (tactic {* fast_tac if_cs 1 *}) done -lemma nested_ifs: "?p : if(if(P,Q,R), A, B) <-> if(P, if(Q,A,B), if(R,A,B))" +schematic_lemma nested_ifs: "?p : if(if(P,Q,R), A, B) <-> if(P, if(Q,A,B), if(R,A,B))" apply (tactic {* fast_tac if_cs 1 *}) done