diff options
Diffstat (limited to 'isar/Example-Tokens.thy')
| -rw-r--r-- | isar/Example-Tokens.thy | 11 |
1 files changed, 10 insertions, 1 deletions
diff --git a/isar/Example-Tokens.thy b/isar/Example-Tokens.thy index 8856eba4..6d2f69ec 100644 --- a/isar/Example-Tokens.thy +++ b/isar/Example-Tokens.thy @@ -13,12 +13,21 @@ theory "Example-Xsym" imports Main begin text {* Proper proof text -- \<^bitalic>naive version\<^eitalic>. *} +theorem and_comms: "\<phi> \<and> \<psi> \<longrightarrow> \<psi> \<and> \<phi>" +proof + assume "\<phi> \<and> \<psi>" + then show "\<psi> \<and> \<phi>" + proof + assume \<psi> and \<phi> + then show ?thesis .. + qed +qed + text {* \<^bbold>Unstructured\<^ebold> proof script. *} theorem "\<phi>\<^isub>\<alpha> \<and> \<phi>\<^isub>\<beta> \<longrightarrow> \<phi>\<^isub>\<beta> \<and> \<phi>\<^isub>\<alpha>" apply (rule impI) apply (erule conjE) - apply (rule conjI) apply assumption apply assumption |