doc-src/ZF/FOL_examples.thy
author wenzelm
Wed, 18 Aug 2010 23:44:50 +0200
changeset 38479 e628da370072
parent 16417 9bc16273c2d4
child 48517 0f8c8ac6cc0e
permissions -rw-r--r--
more efficient Markup_Tree, based on branches sorted by quasi-order; renamed markup_node.scala to markup_tree.scala and classes/objects accordingly; Position.Range: produce actual Text.Range; Symbol.Index.decode: convert 1-based Isabelle offsets here; added static Command.range; simplified Command.markup; Document_Model.token_marker: flatten markup at most once; tuned;

header{*Examples of Classical Reasoning*}

theory FOL_examples imports FOL begin

lemma "EX y. ALL x. P(y)-->P(x)"
  --{* @{subgoals[display,indent=0,margin=65]} *}
apply (rule exCI)
  --{* @{subgoals[display,indent=0,margin=65]} *}
apply (rule allI)
  --{* @{subgoals[display,indent=0,margin=65]} *}
apply (rule impI)
  --{* @{subgoals[display,indent=0,margin=65]} *}
apply (erule allE)
  --{* @{subgoals[display,indent=0,margin=65]} *}
txt{*see below for @{text allI} combined with @{text swap}*}
apply (erule allI [THEN [2] swap])
  --{* @{subgoals[display,indent=0,margin=65]} *}
apply (rule impI)
  --{* @{subgoals[display,indent=0,margin=65]} *}
apply (erule notE)
  --{* @{subgoals[display,indent=0,margin=65]} *}
apply assumption
done

text {*
@{thm[display] allI [THEN [2] swap]}
*}

lemma "EX y. ALL x. P(y)-->P(x)"
by blast

end