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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	$⊢ 0 \neq 1$

Step	Hyp	Ref	Expression
1		ax-1ne0	$⊢ 1 \neq 0$
2	1	necomi	$⊢ 0 \neq 1$