Go backward to Example Go up to Top Go forward to Example

Explicit Function Definitions

f(x₀, ..., x_n-1) := T

• Introduction of new n-ary function constant f (definiendum).
• f must not occur within term T (definiens).
• Free variables of T must be among x₀, ..., x_n-1.
• New axiom

  forall x₀, ..., x_n-1: f(x₀, ..., x_n-1) = T

New function is uniquely characterized.