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Metamath Proof Explorer

Theorem comraddi

Description: Commute RHS addition. See addcomli to commute addition on LHS. (Contributed by David A. Wheeler, 11-Oct-2018)

Ref Expression
Hypotheses comraddi.1 ⊢ B ∈ ℂ
comraddi.2 ⊢ C ∈ ℂ
comraddi.3 ⊢ A = B + C
Assertion comraddi ⊢ A = C + B

Proof

Step Hyp Ref Expression
1 comraddi.1 ⊢ B ∈ ℂ
2 comraddi.2 ⊢ C ∈ ℂ
3 comraddi.3 ⊢ A = B + C
4 1 2 addcomi ⊢ B + C = C + B
5 3 4 eqtri ⊢ A = C + B