Theorem eqled

Description: Equality implies 'less than or equal to'. (Contributed by Glauco Siliprandi, 11-Dec-2019)

	Ref	Expression
Hypotheses	eqled.1	$$⊢\phi \to A\in ℝ$$
	eqled.2	$$⊢\phi \to A=B$$
Assertion	eqled	$$⊢\phi \to A\le B$$

Proof

Step	Hyp	Ref	Expression
1		eqled.1	$$⊢\phi \to A\in ℝ$$
2		eqled.2	$$⊢\phi \to A=B$$
3		eqle	$$⊢\left(A\in ℝ\wedge A=B\right)\to A\le B$$
4	1 2 3	syl2anc	$$⊢\phi \to A\le B$$