simp
D : Type
V : VarAssignment D
hd : String
tl : List String
ih : V ∘ Var.openList 0 (List.map free_ tl) = shiftList D V (List.map (V ∘ free_) tl)
⊢ V
      (if 0 < 0 then bound_ 0
      else
        if x : 0 - 0 < (free_ hd :: List.map free_ tl).length then (free_ hd :: List.map free_ tl)[0 - 0]
        else bound_ (0 - 0 - (free_ hd :: List.map free_ tl).length + 0)) =
    V (free_ hd)
no goals