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184 We may repeatedly subtract assumptions until none are left!*) |
184 We may repeatedly subtract assumptions until none are left!*) |
185 val [sat] = goal PropLog.thy |
185 val [sat] = goal PropLog.thy |
186 "{} |= p ==> !t. hyps p t - hyps p t0 |- p"; |
186 "{} |= p ==> !t. hyps p t - hyps p t0 |- p"; |
187 by (rtac (hyps_subset RS (hyps_finite RS finite_subset_induct)) 1); |
187 by (rtac (hyps_subset RS (hyps_finite RS finite_subset_induct)) 1); |
188 by (simp_tac (!simpset addsimps [sat RS sat_thms_p]) 1); |
188 by (simp_tac (!simpset addsimps [sat RS sat_thms_p]) 1); |
189 by (Step_tac 1); |
189 by Safe_tac; |
190 (*Case hyps(p,t)-insert(#v,Y) |- p *) |
190 (*Case hyps(p,t)-insert(#v,Y) |- p *) |
191 by (rtac thms_excluded_middle_rule 1); |
191 by (rtac thms_excluded_middle_rule 1); |
192 by (rtac (insert_Diff_same RS weaken_left) 1); |
192 by (rtac (insert_Diff_same RS weaken_left) 1); |
193 by (etac spec 1); |
193 by (etac spec 1); |
194 by (rtac (insert_Diff_subset2 RS weaken_left) 1); |
194 by (rtac (insert_Diff_subset2 RS weaken_left) 1); |