Description: Inference from commutative law for inequality. (Contributed by NM, 17-Oct-2012)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | necomi.1 | |- A =/= B | |
| Assertion | necomi | |- B =/= A | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | necomi.1 | |- A =/= B | |
| 2 | necom | |- ( A =/= B <-> B =/= A ) | |
| 3 | 1 2 | mpbi | |- B =/= A |