Theorem xaddlidd

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

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

Proof

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