Metamath Proof Explorer


Definition df-zring

Description: The (unital) ring of integers. (Contributed by Alexander van der Vekens, 9-Jun-2019)

Ref Expression
Assertion df-zring ℤring = ( ℂfld ↾s ℤ )

Detailed syntax breakdown

Step Hyp Ref Expression
0 czring ⊢ ℤring
1 ccnfld ⊢ ℂfld
2 cress ⊢ ↾s
3 cz ⊢ ℤ
4 1 3 2 co ⊢ ( ℂfld ↾s ℤ )
5 0 4 wceq ⊢ ℤring = ( ℂfld ↾s ℤ )