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	$$⊢A\in ℝ$$
Assertion	leabsi	$$⊢A\le \left|A\right|$$

Proof

Step	Hyp	Ref	Expression
1		sqrtthi.1	$$⊢A\in ℝ$$
2		leabs	$$⊢A\in ℝ\to A\le \left|A\right|$$
3	1 2	ax-mp	$$⊢A\le \left|A\right|$$