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Metamath Proof Explorer

Theorem nnct

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

		Ref	Expression
	Assertion	nnct	⊢ ℕ ≼ ω

Step	Hyp	Ref	Expression
1		nnenom	⊢ ℕ ≈ ω
2		endom	⊢ ( ℕ ≈ ω → ℕ ≼ ω )
3	1 2	ax-mp	⊢ ℕ ≼ ω