Theorem ltnri

Description: 'Less than' is irreflexive. (Contributed by NM, 18-Aug-1999)

	Ref	Expression
Hypothesis	lt.1	|- A e. RR
Assertion	ltnri	|- -. A < A

Proof

Step	Hyp	Ref	Expression
1		lt.1	|- A e. RR
2		ltnr	|- ( A e. RR -> -. A < A )
3	1 2	ax-mp	|- -. A < A