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Metamath Proof Explorer

Theorem plusgndxnn

Description: The index of the slot for the group operation in an extensible structure is a positive integer. (Contributed by AV, 17-Oct-2024)

		Ref	Expression
	Assertion	plusgndxnn	$⊢ +_{ndx} \in ℕ$

Step	Hyp	Ref	Expression
1		plusgndx	$⊢ +_{ndx} = 2$
2		2nn	$⊢ 2 \in ℕ$
3	1 2	eqeltri	$⊢ +_{ndx} \in ℕ$