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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