REAL_INT_LE_CONV : conv

SYNOPSIS

Conversion to prove whether one integer literal of type :real is <= another.

DESCRIPTION

The call REAL_INT_LE_CONV `c1 <= c2` where c1 and c2 are integer literals of type :real, returns whichever of |- c1 <= c2 <=> T or |- c1 <= c2 <=> F is true. By an integer literal we mean either &n or -- &n where n is a numeral.

FAILURE CONDITIONS

Fails if applied to a term that is not the appropriate inequality comparison on two permitted integer literals of type :real.

EXAMPLE

  # REAL_INT_LE_CONV `&11 <= &77`;;
  val it : thm = |- &11 <= &77 <=> T

COMMENTS

The related function REAL_RAT_LE_CONV subsumes this functionality, also applying to rational literals. Unless the restriction to integers is desired or a tiny efficiency difference matters, it should be used in preference.