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Metamath Proof Explorer

Theorem xaddridd

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

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

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