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Metamath Proof Explorer

Theorem adddi

Description: Alias for ax-distr , for naming consistency with adddii . (Contributed by NM, 10-Mar-2008)

		Ref	Expression
	Assertion	adddi	$⊢ (A \in ℂ \land B \in ℂ \land C \in ℂ) \to A (B + C) = A B + A C$

Step	Hyp	Ref	Expression
1		ax-distr	$⊢ (A \in ℂ \land B \in ℂ \land C \in ℂ) \to A (B + C) = A B + A C$