doc-src/TutorialI/Misc/appendix.thy
author berghofe
Wed, 07 May 2008 10:56:52 +0200
changeset 26803 0af0f674845d
parent 24629 65947eb930fa
child 31677 799aecc0df56
permissions -rw-r--r--
- Explicitely passed pred_subset_eq and pred_equals_eq as an argument to the to_set and to_pred attributes, because it is no longer applied automatically - Manually applied predicate1I in proof of accp_subset, because it is no longer part of the claset - Replaced psubset_def by less_le

(*<*)
theory appendix imports Main begin;
(*>*)

text{*
\begin{table}[htbp]
\begin{center}
\begin{tabular}{lll}
Constant & Type & Syntax \\
\hline
@{text 0} & @{text "'a::zero"} \\
@{text 1} & @{text "'a::one"} \\
@{text"+"} & @{text "('a::plus) \<Rightarrow> 'a \<Rightarrow> 'a"} & (infixl 65) \\
@{text"-"} & @{text "('a::minus) \<Rightarrow> 'a \<Rightarrow> 'a"} &  (infixl 65) \\
@{text"-"} & @{text "('a::minus) \<Rightarrow> 'a"} \\
@{text"*"} & @{text "('a::times) \<Rightarrow> 'a \<Rightarrow> 'a"} & (infixl 70) \\
@{text div} & @{text "('a::div) \<Rightarrow> 'a \<Rightarrow> 'a"} & (infixl 70) \\
@{text mod} & @{text "('a::div) \<Rightarrow> 'a \<Rightarrow> 'a"} & (infixl 70) \\
@{text dvd} & @{text "('a::times) \<Rightarrow> 'a \<Rightarrow> bool"} & (infixl 50) \\
@{text"/"}  & @{text "('a::inverse) \<Rightarrow> 'a \<Rightarrow> 'a"} & (infixl 70) \\
@{text"^"} & @{text "('a::power) \<Rightarrow> nat \<Rightarrow> 'a"} & (infixr 80) \\
@{term abs} &  @{text "('a::minus) \<Rightarrow> 'a"} & ${\mid} x {\mid}$\\
@{text"\<le>"} & @{text "('a::ord) \<Rightarrow> 'a \<Rightarrow> bool"} & (infixl 50) \\
@{text"<"} & @{text "('a::ord) \<Rightarrow> 'a \<Rightarrow> bool"} & (infixl 50) \\
@{term min} &  @{text "('a::ord) \<Rightarrow> 'a \<Rightarrow> 'a"} \\
@{term max} &  @{text "('a::ord) \<Rightarrow> 'a \<Rightarrow> 'a"} \\
@{term Least} & @{text "('a::ord \<Rightarrow> bool) \<Rightarrow> 'a"} &
@{text LEAST}$~x.~P$
\end{tabular}
\caption{Overloaded Constants in HOL}
\label{tab:overloading}
\end{center}
\end{table}
*}

(*<*)
end
(*>*)