Theorem addcomnni

Description: Commutative law for addition. (Contributed by metakunt, 25-Apr-2024)

	Ref	Expression
Hypotheses	addcomnni.1	⊢ 𝐴 ∈ ℕ
	addcomnni.2	⊢ 𝐵 ∈ ℕ
Assertion	addcomnni	⊢ ( 𝐴 + 𝐵 ) = ( 𝐵 + 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		addcomnni.1	⊢ 𝐴 ∈ ℕ
2		addcomnni.2	⊢ 𝐵 ∈ ℕ
3	1	nncni	⊢ 𝐴 ∈ ℂ
4	2	nncni	⊢ 𝐵 ∈ ℂ
5	3 4	addcomi	⊢ ( 𝐴 + 𝐵 ) = ( 𝐵 + 𝐴 )