lean4-htt/tests/lean/run/hashmap-implicits.lean

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import Std.Data.HashMap
import Std.Data.HashSet
import Std.Data.DHashMap
open Std (DHashMap HashMap HashSet)
/-! (Non-exhaustive) tests that `BEq` and `Hashable` arguments to query operations and lemmas are
correctly solved by unification. -/
namespace DHashMap
structure A (α) extends BEq α, Hashable α where
foo : DHashMap α (fun _ => Nat)
def A.add (xs : A α) (x : α) : A α :=
{xs with foo := xs.foo.insert x 5}
example (xs : A α) (x : α) : ¬x ∈ @DHashMap.empty _ (fun _ => Nat) xs.toBEq xs.toHashable 5 :=
DHashMap.not_mem_empty
example (xs : A α) (x : α) : (@DHashMap.empty _ (fun _ => Nat) xs.toBEq xs.toHashable 5).contains x = false := by
rw [DHashMap.contains_empty]
example (xs : A α) (x : α) : DHashMap.Const.get? (@DHashMap.empty _ (fun _ => Nat) xs.toBEq xs.toHashable 5) x = none := by
rw [DHashMap.Const.get?_empty]
example (xs : A α) (x : α) [@LawfulBEq α xs.toBEq] : xs.foo.size ≤ (xs.foo.insert x 5).size :=
DHashMap.size_le_size_insert
end DHashMap
namespace HashMap
structure A (α) extends BEq α, Hashable α where
foo : HashMap α Nat
def A.add (xs : A α) (x : α) : A α :=
{xs with foo := xs.foo.insert x 5}
example (xs : A α) (x : α) : ¬x ∈ @HashMap.empty _ Nat xs.toBEq xs.toHashable 5 :=
HashMap.not_mem_empty
example (xs : A α) (x : α) : (@HashMap.empty _ Nat xs.toBEq xs.toHashable 5).contains x = false := by
rw [HashMap.contains_empty]
example (xs : A α) (x : α) : (@HashMap.empty _ Nat xs.toBEq xs.toHashable 5)[x]? = none := by
rw [HashMap.getElem?_empty]
example (xs : A α) (x : α) [@LawfulBEq α xs.toBEq] : xs.foo.size ≤ (xs.foo.insert x 5).size :=
HashMap.size_le_size_insert
end HashMap
namespace HashSet
structure A (α) extends BEq α, Hashable α where
foo : HashSet α
def A.add (xs : A α) (x : α) : A α :=
{xs with foo := xs.foo.insert x}
example (xs : A α) (x : α) : ¬x ∈ @HashSet.empty _ xs.toBEq xs.toHashable 5 :=
DHashMap.not_mem_empty
example (xs : A α) (x : α) : (@HashSet.empty _ xs.toBEq xs.toHashable 5).contains x = false := by
rw [HashSet.contains_empty]
example (xs : A α) (x : α) [@LawfulBEq α xs.toBEq] : xs.foo.size ≤ (xs.foo.insert x).size :=
HashSet.size_le_size_insert
end HashSet