Theorem uzssz2

Description: An upper set of integers is a subset of all integers. (Contributed by Glauco Siliprandi, 2-Jan-2022)

	Ref	Expression
Hypothesis	uzssz2.1	⊢ 𝑍 = ( ℤ≥ ‘ 𝑀 )
Assertion	uzssz2	⊢ 𝑍 ⊆ ℤ

Proof

Step	Hyp	Ref	Expression
1		uzssz2.1	⊢ 𝑍 = ( ℤ≥ ‘ 𝑀 )
2		uzssz	⊢ ( ℤ≥ ‘ 𝑀 ) ⊆ ℤ
3	1 2	eqsstri	⊢ 𝑍 ⊆ ℤ