Theorem leabsi

Description: A real number is less than or equal to its absolute value. (Contributed by NM, 2-Aug-1999)

	Ref	Expression
Hypothesis	sqrtthi.1	|- A e. RR
Assertion	leabsi	|- A <_ ( abs ` A )

Proof

Step	Hyp	Ref	Expression
1		sqrtthi.1	|- A e. RR
2		leabs	|- ( A e. RR -> A <_ ( abs ` A ) )
3	1 2	ax-mp	|- A <_ ( abs ` A )