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### Definitions File

### Template File

### Check File

theory Defs imports Main begin end

theory Submission imports Defs begin lemma goal1: "(A \<and> (B \<or> C)) = ((A \<and> B) \<or> (A \<and> C))" sorry lemma goal2: "length (append x y)= (length x) + (length y)" sorry end

theory Check imports Submission begin lemma "(A \<and> (B \<or> C)) = ((A \<and> B) \<or> (A \<and> C))" by (rule goal1) lemma "length (append x y)= (length x) + (length y)" by (rule goal2) end

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