# HG changeset patch # User wenzelm # Date 954613580 -7200 # Node ID 5fdbe2dd54f95ce8c58e9345e046c305ae3d7c43 # Parent 3cf533397c5a61eb57ef0fad85ca4882635f8e2a tuned presentation; diff -r 3cf533397c5a -r 5fdbe2dd54f9 src/HOL/Isar_examples/Summation.thy --- a/src/HOL/Isar_examples/Summation.thy Sat Apr 01 20:22:46 2000 +0200 +++ b/src/HOL/Isar_examples/Summation.thy Sat Apr 01 20:26:20 2000 +0200 @@ -47,8 +47,8 @@ "SUM i < k. b" == "sum (\\i. b) k"; -subsection {* Summation laws *}; (*<*) - +subsection {* Summation laws *}; +(*<*) (* FIXME binary arithmetic does not yet work here *) syntax @@ -62,7 +62,6 @@ "6" == "Suc (Suc 4)"; theorems [simp] = add_mult_distrib add_mult_distrib2 mult_ac; - (*>*) text {* diff -r 3cf533397c5a -r 5fdbe2dd54f9 src/HOL/Real/HahnBanach/Bounds.thy --- a/src/HOL/Real/HahnBanach/Bounds.thy Sat Apr 01 20:22:46 2000 +0200 +++ b/src/HOL/Real/HahnBanach/Bounds.thy Sat Apr 01 20:26:20 2000 +0200 @@ -5,8 +5,8 @@ header {* Bounds *}; -theory Bounds = Main + Real:; (*<*) - +theory Bounds = Main + Real:; +(*<*) subsection {* The sets of lower and upper bounds *}; constdefs @@ -66,7 +66,6 @@ subsection {* Infimum and Supremum *}; - (*>*) text {* A supremum\footnote{The definition of the supremum is based on one in @@ -83,8 +82,8 @@ "is_Sup A B x == isLub A B x" Sup :: "('a::order) set => 'a set => 'a" - "Sup A B == Eps (is_Sup A B)"; (*<*) - + "Sup A B == Eps (is_Sup A B)"; +(*<*) constdefs is_Inf :: "('a::order) set => 'a set => 'a => bool" "is_Inf A B x == x:A & is_Greatest (LowerBounds A B) x" @@ -107,7 +106,6 @@ "SUP x. P" == "SUP x:UNIV. P" "INF x:A. P" == "Inf A (Collect (\x. P))" "INF x. P" == "INF x:UNIV. P"; - (*>*) text{* The supremum of $B$ is less than any upper bound of $B$.*};