NUM_LT_CONV : conv

SYNOPSIS

Proves whether one numeral is less than another.

DESCRIPTION

If n and m are two numerals (e.g. 0, 1, 2, 3,...), then NUM_LT_CONV `n < m` returns:

   |- n < m <=> T       or       |- n < m <=> F

depending on whether the natural number represented by n is less than the one represented by m.

FAILURE CONDITIONS

NUM_LT_CONV tm fails if tm is not of the form `n < m`, where n and m are numerals.

EXAMPLE

  # NUM_LT_CONV `42 < 42`;;
  val it : thm = |- 42 < 42 <=> F

  # NUM_LT_CONV `11 < 19`;;
  val it : thm = |- 11 < 19 <=> T

USES

Performing basic arithmetic reasoning while producing a proof.

SEE ALSO