192 apply force |
192 apply force |
193 apply force |
193 apply force |
194 --{* 6 subgoals left *} |
194 --{* 6 subgoals left *} |
195 prefer 6 |
195 prefer 6 |
196 apply(erule_tac x=i in allE) |
196 apply(erule_tac x=i in allE) |
197 apply force |
197 apply fastsimp |
198 --{* 5 subgoals left *} |
198 --{* 5 subgoals left *} |
199 prefer 5 |
199 prefer 5 |
200 apply(tactic {* ALLGOALS (case_tac "j=k") *}) |
200 apply(tactic {* ALLGOALS (case_tac "j=k") *}) |
201 --{* 10 subgoals left *} |
201 --{* 10 subgoals left *} |
202 apply simp_all |
202 apply simp_all |
203 apply(erule_tac x=i in allE) |
203 apply(erule_tac x=k in allE) |
204 apply force |
204 apply force |
205 --{* 9 subgoals left *} |
205 --{* 9 subgoals left *} |
206 apply(case_tac "j=l") |
206 apply(case_tac "j=l") |
207 apply simp |
207 apply simp |
208 apply(erule_tac x=k in allE) |
208 apply(erule_tac x=k in allE) |
436 --{* 138 vc *} |
436 --{* 138 vc *} |
437 apply(tactic {* ALLGOALS Clarify_tac *}) |
437 apply(tactic {* ALLGOALS Clarify_tac *}) |
438 --{* 112 subgoals left *} |
438 --{* 112 subgoals left *} |
439 apply(simp_all (no_asm)) |
439 apply(simp_all (no_asm)) |
440 apply(tactic {*ALLGOALS (conjI_Tac (K all_tac)) *}) |
440 apply(tactic {*ALLGOALS (conjI_Tac (K all_tac)) *}) |
441 --{* 860 subgoals left *} |
441 --{* 930 subgoals left *} |
442 apply(tactic {* ALLGOALS Clarify_tac *}) |
442 apply(tactic {* ALLGOALS Clarify_tac *}) |
443 apply(simp_all only:length_0_conv [THEN sym]) |
443 apply(simp_all (asm_lr) only:length_0_conv [THEN sym]) |
444 --{* 36 subgoals left *} |
444 --{* 44 subgoals left *} |
445 apply (simp_all del:length_0_conv add: nth_list_update mod_less_divisor mod_lemma) |
445 apply (simp_all (asm_lr) del:length_0_conv add: nth_list_update mod_less_divisor mod_lemma) |
446 --{* 32 subgoals left *} |
446 --{* 33 subgoals left *} |
447 apply(tactic {* ALLGOALS Clarify_tac *}) |
447 apply(tactic {* ALLGOALS Clarify_tac *}) |
448 apply(tactic {* TRYALL arith_tac *}) |
448 apply(tactic {* TRYALL arith_tac *}) |
449 --{* 9 subgoals left *} |
449 --{* 10 subgoals left *} |
450 apply (force simp add:less_Suc_eq) |
450 apply (force simp add:less_Suc_eq) |
451 apply(drule sym) |
451 apply(drule sym) |
452 apply (force simp add:less_Suc_eq)+ |
452 apply (force simp add:less_Suc_eq)+ |
453 done |
453 done |
454 |
454 |