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• \( \text{Let } S = \mathbb{N} \setminus \{1\} \text{ in } S \times S \), two-dimensional naturals without 1.

>>> :{
  -- Addition
  f1 :: (Hemimodule m r) => m -> m
  f1 m = m .+. m
:}

>>> f1 (8,4)
(16,8)

>>> :{
  -- Zero
  f2 :: (Hemimodule m r) => m -> m
  f2 m = m .+. zero
:}

>>> f2 (8,4)
(8,4)

>>> :{
  -- Scalar multiplication
  f3 :: (Hemimodule m r, Num r) => m -> m
  f3 m = m .* 6
:}

>>> f3 (8,4)
(48,24)