∀ {Γ : Type u} {Γ' : Type v} [inst : Inhabited Γ] [inst_1 : Inhabited Γ'] (f f_1 : Γ → Γ') (e_f : f = f_1)
  (map_pt' : f default = default), { f := f, map_pt' := map_pt' } = { f := f_1, map_pt' := ⋯ }