NUM_SUC_CONV : term -> thm

SYNOPSIS

Proves what the successor of a natural number numeral is.

DESCRIPTION

If n is a numeral (e.g. 0, 1, 2, 3,...), then NUM_SUC_CONV `SUC n` returns the theorem:

   |- SUC n = s

where s is the numeral that denotes the successor of the natural number denoted by n (that is, the result of adding 1 to it).

FAILURE CONDITIONS

NUM_SUC_CONV tm fails if tm is not of the form `SUC n`, where n is a numeral.

EXAMPLE

  # NUM_SUC_CONV `SUC 0`;;
  val it : thm = |- SUC 0 = 1

  # NUM_SUC_CONV `SUC 12345`;;
  val it : thm = |- SUC 12345 = 12346

SEE ALSO