Theorem leabsd

Description: A real number is less than or equal to its absolute value. (Contributed by Mario Carneiro, 29-May-2016)

	Ref	Expression
Hypothesis	resqrcld.1	$$⊢\phi \to A\in ℝ$$
Assertion	leabsd	$$⊢\phi \to A\le \left|A\right|$$

Proof

Step	Hyp	Ref	Expression
1		resqrcld.1	$$⊢\phi \to A\in ℝ$$
2		leabs	$$⊢A\in ℝ\to A\le \left|A\right|$$
3	1 2	syl	$$⊢\phi \to A\le \left|A\right|$$