equal
deleted
inserted
replaced
131 by (rtac cont_pair2 1); |
131 by (rtac cont_pair2 1); |
132 by (rtac refl 1); |
132 by (rtac refl 1); |
133 qed "beta_cfun_cprod"; |
133 qed "beta_cfun_cprod"; |
134 |
134 |
135 Goalw [cpair_def] |
135 Goalw [cpair_def] |
136 " <a,b>=<aa,ba> ==> a=aa & b=ba"; |
136 " <a,b> = <aa,ba> ==> a=aa & b=ba"; |
137 by (dtac (beta_cfun_cprod RS subst) 1); |
137 by (dtac (beta_cfun_cprod RS subst) 1); |
138 by (dtac (beta_cfun_cprod RS subst) 1); |
138 by (dtac (beta_cfun_cprod RS subst) 1); |
139 by (etac Pair_inject 1); |
139 by (etac Pair_inject 1); |
140 by (fast_tac HOL_cs 1); |
140 by (fast_tac HOL_cs 1); |
141 qed "inject_cpair"; |
141 qed "inject_cpair"; |
167 by (resolve_tac prems 1); |
167 by (resolve_tac prems 1); |
168 by (etac (beta_cfun_cprod RS ssubst) 1); |
168 by (etac (beta_cfun_cprod RS ssubst) 1); |
169 qed "cprodE"; |
169 qed "cprodE"; |
170 |
170 |
171 Goalw [cfst_def,cpair_def] |
171 Goalw [cfst_def,cpair_def] |
172 "cfst$<x,y>=x"; |
172 "cfst$<x,y> = x"; |
173 by (stac beta_cfun_cprod 1); |
173 by (stac beta_cfun_cprod 1); |
174 by (stac beta_cfun 1); |
174 by (stac beta_cfun 1); |
175 by (rtac cont_fst 1); |
175 by (rtac cont_fst 1); |
176 by (Simp_tac 1); |
176 by (Simp_tac 1); |
177 qed "cfst2"; |
177 qed "cfst2"; |
178 |
178 |
179 Goalw [csnd_def,cpair_def] |
179 Goalw [csnd_def,cpair_def] |
180 "csnd$<x,y>=y"; |
180 "csnd$<x,y> = y"; |
181 by (stac beta_cfun_cprod 1); |
181 by (stac beta_cfun_cprod 1); |
182 by (stac beta_cfun 1); |
182 by (stac beta_cfun 1); |
183 by (rtac cont_snd 1); |
183 by (rtac cont_snd 1); |
184 by (Simp_tac 1); |
184 by (Simp_tac 1); |
185 qed "csnd2"; |
185 qed "csnd2"; |