Description: Obsolete version of pm13.181 as of 30-Oct-2024. (Contributed by Andrew Salmon, 3-Jun-2011) (New usage is discouraged.) (Proof modification is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | pm13.181OLD | |- ( ( A = B /\ B =/= C ) -> A =/= C ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eqcom | |- ( A = B <-> B = A ) |
|
| 2 | pm13.18 | |- ( ( B = A /\ B =/= C ) -> A =/= C ) |
|
| 3 | 1 2 | sylanb | |- ( ( A = B /\ B =/= C ) -> A =/= C ) |