Metamath Proof Explorer


Theorem n2dvds3

Description: 2 does not divide 3. That means 3 is odd. (Contributed by AV, 28-Feb-2021) (Proof shortened by Steven Nguyen, 3-May-2023)

Ref Expression
Assertion n2dvds3 ¬23

Proof

Step Hyp Ref Expression
1 3halfnz ¬32
2 3z 3
3 evend2 32332
4 2 3 ax-mp 2332
5 1 4 mtbir ¬23