---------------------------------------------------------------------- NOT_EQ_SYM (Drule) ---------------------------------------------------------------------- NOT_EQ_SYM : (thm -> thm) SYNOPSIS Swaps left-hand and right-hand sides of a negated equation. KEYWORDS rule, symmetry, equality, negation. DESCRIBE When applied to a theorem {A |- ~(t1 = t2)}, the inference rule {NOT_EQ_SYM} returns the theorem {A |- ~(t2 = t1)}. A |- ~(t1 = t2) ----------------- NOT_EQ_SYM A |- ~(t2 = t1) FAILURE Fails unless the theorem’s conclusion is a negated equation. SEEALSO Conv.DEPTH_CONV, Thm.REFL, Thm.SYM. ----------------------------------------------------------------------