diff -r 20b708827030 -r 5dfdc1464966 src/ZF/AC/WO1_WO8.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/ZF/AC/WO1_WO8.ML Thu May 18 11:51:23 1995 +0200 @@ -0,0 +1,30 @@ +(* Title: ZF/AC/WO1_WO8.ML + ID: $Id$ + Author: Krzysztof Gr`abczewski + +The proof of WO8 <-> WO1 (Rubin & Rubin p. 6) +*) + +(* ********************************************************************** *) +(* Trivial implication "WO1 ==> WO8" *) +(* ********************************************************************** *) + +goalw thy WO_defs "!!Z. WO1 ==> WO8"; +by (fast_tac ZF_cs 1); +result(); + +(* ********************************************************************** *) +(* The proof of "WO8 ==> WO1" - faithful image of Rubin & Rubin's proof *) +(* ********************************************************************** *) + +goalw thy WO_defs "!!Z. WO8 ==> WO1"; +by (resolve_tac [allI] 1); +by (eres_inst_tac [("x","{{x}. x:A}")] allE 1); +by (eresolve_tac [impE] 1); +by (fast_tac (AC_cs addSEs [lam_sing_bij RS bij_is_inj RS + well_ord_rvimage]) 2); +by (res_inst_tac [("x","lam a:{{x}. x:A}. THE x. a={x}")] exI 1); +by (fast_tac (ZF_cs addSEs [RepFunE, singleton_eq_iff RS iffD1 RS sym] + addSIs [lam_type, singletonI] + addIs [the_equality RS ssubst]) 1); +result(); \ No newline at end of file