Theorem xaddridd

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

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

Proof

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