equal
deleted
inserted
replaced
64 by simp |
64 by simp |
65 |
65 |
66 lemma option_Some_prs[quot_preserve]: |
66 lemma option_Some_prs[quot_preserve]: |
67 assumes q: "Quotient R Abs Rep" |
67 assumes q: "Quotient R Abs Rep" |
68 shows "(Rep ---> Option.map Abs) Some = Some" |
68 shows "(Rep ---> Option.map Abs) Some = Some" |
69 apply(simp add: ext_iff) |
69 apply(simp add: fun_eq_iff) |
70 apply(simp add: Quotient_abs_rep[OF q]) |
70 apply(simp add: Quotient_abs_rep[OF q]) |
71 done |
71 done |
72 |
72 |
73 lemma option_map_id[id_simps]: |
73 lemma option_map_id[id_simps]: |
74 shows "Option.map id = id" |
74 shows "Option.map id = id" |
75 by (simp add: ext_iff split_option_all) |
75 by (simp add: fun_eq_iff split_option_all) |
76 |
76 |
77 lemma option_rel_eq[id_simps]: |
77 lemma option_rel_eq[id_simps]: |
78 shows "option_rel (op =) = (op =)" |
78 shows "option_rel (op =) = (op =)" |
79 by (simp add: ext_iff split_option_all) |
79 by (simp add: fun_eq_iff split_option_all) |
80 |
80 |
81 end |
81 end |