equal
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191 |
191 |
192 This style of working is illustrated in the block below, where |
192 This style of working is illustrated in the block below, where |
193 notions of infimum and supremum for partial orders are introduced, |
193 notions of infimum and supremum for partial orders are introduced, |
194 together with theorems about their uniqueness. *} |
194 together with theorems about their uniqueness. *} |
195 |
195 |
196 context partial_order begin |
196 context partial_order |
|
197 begin |
197 |
198 |
198 definition |
199 definition |
199 is_inf where "is_inf x y i = |
200 is_inf where "is_inf x y i = |
200 (i \<sqsubseteq> x \<and> i \<sqsubseteq> y \<and> (\<forall>z. z \<sqsubseteq> x \<and> z \<sqsubseteq> y \<longrightarrow> z \<sqsubseteq> i))" |
201 (i \<sqsubseteq> x \<and> i \<sqsubseteq> y \<and> (\<forall>z. z \<sqsubseteq> x \<and> z \<sqsubseteq> y \<longrightarrow> z \<sqsubseteq> i))" |
201 |
202 |