NUM_EQ_CONV : conv

SYNOPSIS
Proves equality or inequality of two numerals.

DESCRIPTION
If n and m are two numerals (e.g. 0, 1, 2, 3,...), then NUM_EQ_CONV `n = m` returns:
   |- (n = m) <=> T       or       |- (n = m) <=> F
depending on whether the natural numbers represented by n and m are equal or not equal, respectively.

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

EXAMPLE
  # NUM_EQ_CONV `1 = 2`;;
  val it : thm = |- 1 = 2 <=> F

  # NUM_EQ_CONV `12 = 12`;;
  val it : thm = |- 12 = 12 <=> T

USES
Performing basic arithmetic reasoning while producing a proof.

SEE ALSO
NUM_ADD_CONV, NUM_DIV_CONV, NUM_EVEN_CONV, NUM_EXP_CONV, NUM_FACT_CONV, NUM_GE_CONV, NUM_GT_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.