lean4-htt/tests/lean/run/1293.lean
2023-11-02 10:06:38 +11:00

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theorem modifySize {A : Type u} (as : Array A) (f : A → A) (n : Nat) : (as.modify n f).size = as.size := by
simp [Array.modify, Array.modifyM, Id.run]; split <;> simp [Id.run]
structure Idx (p : Array String) where
n : Fin p.size
structure Store where
arr : Array String
-- integer pointers into `arr`, type-indexed by `arr`
ids : Array (Idx arr)
instance {arr : Array String} {f : String → String} {n : Nat} : Coe (Array (Idx arr)) (Array (Idx (arr.modify n f))) where
coe xs :=
xs.map (fun x => Idx.mk ((modifySize arr f n) ▸ x.n))
def store1 : Store := {
arr := #["a", "b", "c", "d", "e"]
ids := #[⟨2, by decide⟩]
}
def tryCoeStore := {
store1 with
-- using a lambda here hangs
arr := store1.arr.modify 2 (fun _ => "Z")
}