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1 header{*Examples of Classical Reasoning*} |
1 header{*Examples of Classical Reasoning*} |
2 |
2 |
3 theory FOL_examples = FOL: |
3 theory FOL_examples imports FOL begin |
4 |
4 |
5 lemma "EX y. ALL x. P(y)-->P(x)" |
5 lemma "EX y. ALL x. P(y)-->P(x)" |
6 --{* @{subgoals[display,indent=0,margin=65]} *} |
6 --{* @{subgoals[display,indent=0,margin=65]} *} |
7 apply (rule exCI) |
7 apply (rule exCI) |
8 --{* @{subgoals[display,indent=0,margin=65]} *} |
8 --{* @{subgoals[display,indent=0,margin=65]} *} |