Metamath Proof Explorer


Theorem uzsscn2

Description: An upper set of integers is a subset of the complex numbers. (Contributed by Glauco Siliprandi, 5-Feb-2022)

Ref Expression
Hypothesis uzsscn2.1 ⊢ Z = ℤ ≥ M
Assertion uzsscn2 ⊢ Z ⊆ ℂ

Proof

Step Hyp Ref Expression
1 uzsscn2.1 ⊢ Z = ℤ ≥ M
2 uzsscn ⊢ ℤ ≥ M ⊆ ℂ
3 1 2 eqsstri ⊢ Z ⊆ ℂ