Metamath Proof Explorer


Theorem cnring

Description: The complex numbers form a ring. (Contributed by Stefan O'Rear, 27-Nov-2014)

Ref Expression
Assertion cnring ℂfld ∈ Ring

Proof

Step Hyp Ref Expression
1 cncrng ⊢ ℂfld ∈ CRing
2 crngring ⊢ ( ℂfld ∈ CRing → ℂfld ∈ Ring )
3 1 2 ax-mp ⊢ ℂfld ∈ Ring