Is this guaranteed to generate a new function every time?

["Soni L." <fakedme@...>]

If I have this:

local t = {}
local another_function(wrapped, ...)
  print(t[wrapper])
end
local function wrap(something_important)
  local function wrapper(...)
    return another_function(wrapper, ...)
  end
  t[wrapper] = something_important
  return wrapper
end

Is it guaranteed that 2 calls to wrap() won't cause weird fucked-up 
semantics? E.g. can I do this?

local wrap1 = wrap(1)
local wrap2 = wrap(2)
wrap1() --> prints 1
wrap2() --> prints 2

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