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Example

Take the domain of natural numbers and assignment [x |-> 1].

• The proposition

  mlets y = 0: x <= y

  is false because 1 <= 0 does not hold.
• The function f defined as

  f(x) := s*x+s where s=x+1

  has the same meaning as if it were defined as

  f(x) := (x+1)*x+(x+1).