equal
deleted
inserted
replaced
168 end |
168 end |
169 |
169 |
170 |
170 |
171 text \<open> |
171 text \<open> |
172 |
172 |
173 To avoid name classes with the @{class complete_lattice}-class we prefix @{const Sup} and |
173 To avoid name classes with the \<^class>\<open>complete_lattice\<close>-class we prefix \<^const>\<open>Sup\<close> and |
174 @{const Inf} in theorem names with c. |
174 \<^const>\<open>Inf\<close> in theorem names with c. |
175 |
175 |
176 \<close> |
176 \<close> |
177 |
177 |
178 class conditionally_complete_lattice = lattice + Sup + Inf + |
178 class conditionally_complete_lattice = lattice + Sup + Inf + |
179 assumes cInf_lower: "x \<in> X \<Longrightarrow> bdd_below X \<Longrightarrow> Inf X \<le> x" |
179 assumes cInf_lower: "x \<in> X \<Longrightarrow> bdd_below X \<Longrightarrow> Inf X \<le> x" |