equal
deleted
inserted
replaced
11 |
11 |
12 constdefs |
12 constdefs |
13 |
13 |
14 stream_monoP :: "(('a stream) set \<Rightarrow> ('a stream) set) \<Rightarrow> bool" |
14 stream_monoP :: "(('a stream) set \<Rightarrow> ('a stream) set) \<Rightarrow> bool" |
15 "stream_monoP F \<equiv> \<exists>Q i. \<forall>P s. Fin i \<le> #s \<longrightarrow> |
15 "stream_monoP F \<equiv> \<exists>Q i. \<forall>P s. Fin i \<le> #s \<longrightarrow> |
16 (s \<in> F P) = (stream_take i\<cdot>s \<in> Q \<and> iterate i rt s \<in> P)" |
16 (s \<in> F P) = (stream_take i\<cdot>s \<in> Q \<and> iterate i\<cdot>rt\<cdot>s \<in> P)" |
17 |
17 |
18 stream_antiP :: "(('a stream) set \<Rightarrow> ('a stream) set) \<Rightarrow> bool" |
18 stream_antiP :: "(('a stream) set \<Rightarrow> ('a stream) set) \<Rightarrow> bool" |
19 "stream_antiP F \<equiv> \<forall>P x. \<exists>Q i. |
19 "stream_antiP F \<equiv> \<forall>P x. \<exists>Q i. |
20 (#x < Fin i \<longrightarrow> (\<forall>y. x \<sqsubseteq> y \<longrightarrow> y \<in> F P \<longrightarrow> x \<in> F P)) \<and> |
20 (#x < Fin i \<longrightarrow> (\<forall>y. x \<sqsubseteq> y \<longrightarrow> y \<in> F P \<longrightarrow> x \<in> F P)) \<and> |
21 (Fin i <= #x \<longrightarrow> (\<forall>y. x \<sqsubseteq> y \<longrightarrow> |
21 (Fin i <= #x \<longrightarrow> (\<forall>y. x \<sqsubseteq> y \<longrightarrow> |
22 (y \<in> F P) = (stream_take i\<cdot>y \<in> Q \<and> iterate i rt y \<in> P)))" |
22 (y \<in> F P) = (stream_take i\<cdot>y \<in> Q \<and> iterate i\<cdot>rt\<cdot>y \<in> P)))" |
23 |
23 |
24 antitonP :: "'a set => bool" |
24 antitonP :: "'a set => bool" |
25 "antitonP P \<equiv> \<forall>x y. x \<sqsubseteq> y \<longrightarrow> y\<in>P \<longrightarrow> x\<in>P" |
25 "antitonP P \<equiv> \<forall>x y. x \<sqsubseteq> y \<longrightarrow> y\<in>P \<longrightarrow> x\<in>P" |
26 |
26 |
27 ML {* use_legacy_bindings (the_context ()) *} |
27 ML {* use_legacy_bindings (the_context ()) *} |