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• \( \mathbb{Q}^{+} \), the non-negative rationals.

>>> :{
  -- Addition
  f1 :: (Semifield k) => k -> k
  f1 x = x .+. x
:}

>>> f1 5
10

>>> :{
  -- Zero
  f2 :: (Semifield k) => k -> k
  f2 x = x .+. zero
:}

>>> f2 5
5

>>> :{
  -- Multiplication
  f3 :: (Semifield k) => k -> k
  f3 x = x .*. x
:}

>>> f3 5
25

>>> :{
  -- One
  f4 :: (Semifield k) => k -> k
  f4 x = x .*. one
:}

>>> f4 5
5

>>> :{
  -- Division
  f5 :: (Semifield k, Num k) => k -> k
  f5 x = x .%. 2
:}

>>> f5 6
3