Theorem comraddd

Description: Commute RHS addition, in deduction form. (Contributed by David A. Wheeler, 11-Oct-2018)

	Ref	Expression
Hypotheses	comraddd.1	$$⊢\phi \to B\in ℂ$$
	comraddd.2	$$⊢\phi \to C\in ℂ$$
	comraddd.3	$$⊢\phi \to A=B+C$$
Assertion	comraddd	$$⊢\phi \to A=C+B$$

Proof

Step	Hyp	Ref	Expression
1		comraddd.1	$$⊢\phi \to B\in ℂ$$
2		comraddd.2	$$⊢\phi \to C\in ℂ$$
3		comraddd.3	$$⊢\phi \to A=B+C$$
4	1 2	addcomd	$$⊢\phi \to B+C=C+B$$
5	3 4	eqtrd	$$⊢\phi \to A=C+B$$