Metamath Proof Explorer


Theorem 2dvdseven

Description: 2 divides an even number. (Contributed by AV, 18-Jun-2020)

Ref Expression
Assertion 2dvdseven
|- ( Z e. Even -> 2 || Z )

Proof

Step Hyp Ref Expression
1 iseven2
 |-  ( Z e. Even <-> ( Z e. ZZ /\ 2 || Z ) )
2 1 simprbi
 |-  ( Z e. Even -> 2 || Z )