Theorem adddi

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

	Ref	Expression
Assertion	adddi	$$⊢\left(A\in ℂ\wedge B\in ℂ\wedge C\in ℂ\right)\to A\left(B+C\right)=AB+AC$$

Proof

Step	Hyp	Ref	Expression
1		ax-distr	$$⊢\left(A\in ℂ\wedge B\in ℂ\wedge C\in ℂ\right)\to A\left(B+C\right)=AB+AC$$