diff options
Diffstat (limited to 'tests/lean')
| -rw-r--r-- | tests/lean/Hashmap/Properties.lean | 34 |
1 files changed, 32 insertions, 2 deletions
diff --git a/tests/lean/Hashmap/Properties.lean b/tests/lean/Hashmap/Properties.lean index ee22bebd..3b9b960f 100644 --- a/tests/lean/Hashmap/Properties.lean +++ b/tests/lean/Hashmap/Properties.lean @@ -115,6 +115,37 @@ theorem insert_in_list_spec {α : Type} (key: Usize) (value: α) (ls: List α) : simp [insert_in_list] at hi exact hi +set_option trace.Progress true +@[pspec] +theorem insert_in_list_spec1 {α : Type} (key: Usize) (value: α) (ls: List α) : + ∃ b, + insert_in_list α key value ls = ret b ∧ + (b ↔ List.lookup ls.v key = none) + := match ls with + | .Nil => by simp [insert_in_list, insert_in_list_loop, List.lookup] + | .Cons k v tl => + if h: k = key then -- TODO: The order of k/key matters + by + simp [insert_in_list, List.lookup] + rw [insert_in_list_loop] + simp [h] + else + by + simp only [insert_in_list] + rw [insert_in_list_loop] + conv => rhs; ext; simp [*] + progress as ⟨ b hi ⟩ + + -- TODO: use progress: detect that this is a recursive call, or give + -- the possibility of specifying an identifier + have ⟨ b, hi ⟩ := insert_in_list_spec key value tl + exists b + simp [insert_in_list, List.lookup] + rw [insert_in_list_loop] -- TODO: Using it in simp leads to infinite recursion + simp [h] + simp [insert_in_list] at hi + exact hi + @[pspec] theorem insert_in_list_spec2 {α : Type} (key: Usize) (value: α) (ls: List α) : ∃ b, @@ -130,8 +161,7 @@ theorem insert_in_list_spec2 {α : Type} (key: Usize) (value: α) (ls: List α) if h: k = key then simp [h] else - conv => - rhs; ext; left; simp [h] -- TODO: Simplify + conv => rhs; ext; left; simp [h] -- TODO: Simplify simp only [insert_in_list] at ih; -- TODO: give the possibility of using underscores progress as ⟨ b h ⟩ |