equal
deleted
inserted
replaced
124 by (induct sp sp' rule: sp\<^sub>\<mu>_comp.induct) auto |
124 by (induct sp sp' rule: sp\<^sub>\<mu>_comp.induct) auto |
125 |
125 |
126 (*will be provided by the package*) |
126 (*will be provided by the package*) |
127 lemma sp\<^sub>\<mu>_rel_map_map[unfolded vimage2p_def, simp]: |
127 lemma sp\<^sub>\<mu>_rel_map_map[unfolded vimage2p_def, simp]: |
128 "rel_sp\<^sub>\<mu> R1 R2 (map_sp\<^sub>\<mu> f1 f2 sp) (map_sp\<^sub>\<mu> g1 g2 sp') = |
128 "rel_sp\<^sub>\<mu> R1 R2 (map_sp\<^sub>\<mu> f1 f2 sp) (map_sp\<^sub>\<mu> g1 g2 sp') = |
129 rel_sp\<^sub>\<mu> (BNF_Util.vimage2p f1 g1 R1) (BNF_Util.vimage2p f2 g2 R2) sp sp'" |
129 rel_sp\<^sub>\<mu> (BNF_Def.vimage2p f1 g1 R1) (BNF_Def.vimage2p f2 g2 R2) sp sp'" |
130 by (tactic {* |
130 by (tactic {* |
131 let val ks = 1 upto 2; |
131 let val ks = 1 upto 2; |
132 in |
132 in |
133 BNF_Tactics.unfold_thms_tac @{context} |
133 BNF_Tactics.unfold_thms_tac @{context} |
134 @{thms sp\<^sub>\<mu>.rel_compp sp\<^sub>\<mu>.rel_conversep sp\<^sub>\<mu>.rel_Grp vimage2p_Grp} THEN |
134 @{thms sp\<^sub>\<mu>.rel_compp sp\<^sub>\<mu>.rel_conversep sp\<^sub>\<mu>.rel_Grp vimage2p_Grp} THEN |