equal
deleted
inserted
replaced
224 by (auto simp: restrict_def Pi_def) |
224 by (auto simp: restrict_def Pi_def) |
225 |
225 |
226 |
226 |
227 subsection \<open>Bijections Between Sets\<close> |
227 subsection \<open>Bijections Between Sets\<close> |
228 |
228 |
229 text \<open>The definition of @{const bij_betw} is in @{text "Fun.thy"}, but most of |
229 text \<open>The definition of @{const bij_betw} is in \<open>Fun.thy\<close>, but most of |
230 the theorems belong here, or need at least @{term Hilbert_Choice}.\<close> |
230 the theorems belong here, or need at least @{term Hilbert_Choice}.\<close> |
231 |
231 |
232 lemma bij_betwI: |
232 lemma bij_betwI: |
233 assumes "f \<in> A \<rightarrow> B" |
233 assumes "f \<in> A \<rightarrow> B" |
234 and "g \<in> B \<rightarrow> A" |
234 and "g \<in> B \<rightarrow> A" |