NUM_GT_CONV : conv

SYNOPSIS
Proves whether one numeral is greater than another.

DESCRIPTION
If n and m are two numerals (e.g. 0, 1, 2, 3,...), then NUM_GT_CONV `n > m` returns:
   |- n > m <=> T       or       |- n > m <=> F
depending on whether the natural number represented by n is greater than the one represented by m.

FAILURE CONDITIONS
NUM_GT_CONV tm fails if tm is not of the form `n > m`, where n and m are numerals.

EXAMPLE
  # NUM_GT_CONV `3 > 2`;;
  val it : thm = |- 3 > 2 <=> T

  # NUM_GT_CONV `77 > 77`;;
  val it : thm = |- 77 > 77 <=> F

USES
Performing basic arithmetic reasoning while producing a proof.

SEE ALSO
NUM_ADD_CONV, NUM_DIV_CONV, NUM_EQ_CONV, NUM_EVEN_CONV, NUM_EXP_CONV, NUM_FACT_CONV, NUM_GE_CONV, NUM_LE_CONV, NUM_LT_CONV, NUM_MAX_CONV, NUM_MIN_CONV, NUM_MOD_CONV, NUM_MULT_CONV, NUM_ODD_CONV, NUM_PRE_CONV, NUM_REDUCE_CONV, NUM_RED_CONV, NUM_REL_CONV, NUM_SUB_CONV, NUM_SUC_CONV.