These, together with the algebraic laws of exponents, enables him to construct what is today known as The Calculus of Values.
2.
By the principle of permanence for functions of two variables, this implies that e s + t-e s e t = 0 for all complex numbers, thus proving one of the laws of exponents for complex exponents.
3.
Such repeated compositions ( of a single function " f " ) obey the laws of exponents, which is why these numerals can be used for arithmetic . ( In Church's original lambda calculus, the formal parameter of a lambda expression was required to occur at least once in the function body, which made the above definition of 0 impossible .)
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