Theorem nn0xnn0

Description: A standard nonnegative integer is an extended nonnegative integer. (Contributed by AV, 10-Dec-2020)

	Ref	Expression
Assertion	nn0xnn0	⊢ ( 𝐴 ∈ ℕ0 → 𝐴 ∈ ℕ0* )

Proof

Step	Hyp	Ref	Expression
1		nn0ssxnn0	⊢ ℕ0 ⊆ ℕ0*
2	1	sseli	⊢ ( 𝐴 ∈ ℕ0 → 𝐴 ∈ ℕ0* )