Theorem xaddid2d

Description: 0 is a left identity for extended real addition. (Contributed by Glauco Siliprandi, 17-Aug-2020)

	Ref	Expression
Hypothesis	xaddid2d.1	$$⊢\phi \to A\in {ℝ}^{*}$$
Assertion	xaddid2d	$$⊢\phi \to 0{+}_{𝑒}A=A$$

Proof

Step	Hyp	Ref	Expression
1		xaddid2d.1	$$⊢\phi \to A\in {ℝ}^{*}$$
2		xaddid2	$$⊢A\in {ℝ}^{*}\to 0{+}_{𝑒}A=A$$
3	1 2	syl	$$⊢\phi \to 0{+}_{𝑒}A=A$$