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theory Defs imports "HOL-Library.Tree" begin consts asc :: "('a::linorder) tree \<Rightarrow> 'a list" end
theory Submission imports Defs begin fun asc :: "('a::linorder) tree \<Rightarrow> 'a list" where "asc _ = undefined" lemma set_asc: "set (asc t) = set_tree t" sorry lemma sorted_asc: "heap t \<Longrightarrow> sorted (asc t)" sorry end
theory Check imports Submission begin lemma set_asc: "set(asc t) = set_tree t" by (rule Submission.set_asc) lemma sorted_asc: "heap t \<Longrightarrow> sorted (asc t)" by (rule Submission.sorted_asc) end