Theorem addcomnni

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

	Ref	Expression
Hypotheses	addcomnni.1	$$⊢A\in \mathbb{N}$$
	addcomnni.2	$$⊢B\in \mathbb{N}$$
Assertion	addcomnni	$$⊢A+B=B+A$$

Proof

Step	Hyp	Ref	Expression
1		addcomnni.1	$$⊢A\in \mathbb{N}$$
2		addcomnni.2	$$⊢B\in \mathbb{N}$$
3	1	nncni	$$⊢A\in ℂ$$
4	2	nncni	$$⊢B\in ℂ$$
5	3 4	addcomi	$$⊢A+B=B+A$$