Metamath Proof Explorer


Theorem neqne

Description: From non-equality to inequality. (Contributed by Glauco Siliprandi, 11-Dec-2019)

Ref Expression
Assertion neqne ¬ A = B A B

Proof

Step Hyp Ref Expression
1 id ¬ A = B ¬ A = B
2 1 neqned ¬ A = B A B