Theorem eqnetrri

Description: Substitution of equal classes into an inequality. (Contributed by NM, 4-Jul-2012)

	Ref	Expression
Hypotheses	eqnetrr.1	|- A = B
	eqnetrr.2	|- A =/= C
Assertion	eqnetrri	|- B =/= C

Proof

Step	Hyp	Ref	Expression
1		eqnetrr.1	|- A = B
2		eqnetrr.2	|- A =/= C
3	1	eqcomi	|- B = A
4	3 2	eqnetri	|- B =/= C