1.1 --- a/src/HOL/Complete_Lattice.thy Wed Jul 13 19:40:18 2011 +0200
1.2 +++ b/src/HOL/Complete_Lattice.thy Wed Jul 13 19:43:12 2011 +0200
1.3 @@ -392,15 +392,6 @@
1.4 lemma Inter_Un_distrib: "\<Inter>(A \<union> B) = \<Inter>A \<inter> \<Inter>B"
1.5 by (fact Inf_union_distrib)
1.6
1.7 -lemma (in bounded_lattice_bot) bot_less:
1.8 - -- {* FIXME: tighten classes bot, top to partial orders (uniqueness!), move lemmas there *}
1.9 - "a \<noteq> bot \<longleftrightarrow> bot < a"
1.10 - by (auto simp add: less_le_not_le intro!: antisym)
1.11 -
1.12 -lemma (in bounded_lattice_top) less_top:
1.13 - "a \<noteq> top \<longleftrightarrow> a < top"
1.14 - by (auto simp add: less_le_not_le intro!: antisym)
1.15 -
1.16 lemma (in complete_lattice) Inf_top_conv [no_atp]:
1.17 "\<Sqinter>A = \<top> \<longleftrightarrow> (\<forall>x\<in>A. x = \<top>)"
1.18 "\<top> = \<Sqinter>A \<longleftrightarrow> (\<forall>x\<in>A. x = \<top>)"