Details About PVS Ints Library
The PVS dump file contains the following theories:
div, % integer division
rem, % old version of "rem", prelude version supercedes
mod_div_lems, % modular arithmetic lemmas that involve div
mod_lems, % modular arithmetic lemmas
gcd, % greatest common divisior
tdiv, tmod, % versions that trunc away from zero for neg arg
max_upto, % max of a set of upto
max_below, % max of a set of below
div_nat, % integer division over nats
mod_nat, % mod over nats
abstract_min, % defines min over type T satisfying P
abstract_max, % defines max over type T satisfying P
floor_div_lems,
floor_more,
infinite_primes, % set of primes has infinite cardinality
max_below,
max_bounded_posnat,
min_posnat,
nat_fun_props,
primes, % definition of prime numbers
prime_factorization, % factorization into primes
unique_factorization, % factorization is unique