Metamath Proof Explorer


Theorem 0ne1

Description: Zero is different from one (the commuted form is Axiom ax-1ne0 ). (Contributed by David A. Wheeler, 8-Dec-2018)

Ref Expression
Assertion 0ne1 0 ≠ 1

Proof

Step Hyp Ref Expression
1 ax-1ne0 1 ≠ 0
2 1 necomi 0 ≠ 1