Theorem nnct

Description: NN is countable. (Contributed by Thierry Arnoux, 29-Dec-2016)

	Ref	Expression
Assertion	nnct	$$⊢\mathbb{N}\preccurlyeq \mathrm{\omega }$$

Proof

Step	Hyp	Ref	Expression
1		nnenom	$$⊢\mathbb{N}\approx \mathrm{\omega }$$
2		endom	$$⊢\mathbb{N}\approx \mathrm{\omega }\to \mathbb{N}\preccurlyeq \mathrm{\omega }$$
3	1 2	ax-mp	$$⊢\mathbb{N}\preccurlyeq \mathrm{\omega }$$