Lines Matching refs:zero
8 zero and successor, so it works well with inductive proofs and primitive
47 The constants \cdx{0} and \cdx{1} are overloaded. They denote zero and one,
126 small literals by zero and successor:
170 \index{division!by zero}%
172 zero yields zero:
201 There are no negative natural numbers, so \isa{m\ -\ n} equals zero unless
295 \isa{c} to be positive. Since division by zero yields zero, we could allow
296 \isa{c} to be zero. However, \isa{c} cannot be negative: a counterexample
404 division by zero.
417 The class \tcdx{ring_no_zero_divisors} of rings without zero divisors satisfies a number of natural cancellation laws, the first of which characterizes this class: