Description: Obsolete version of eqtr2 as of 24-Oct-2024. (Contributed by NM, 20-May-2005) (Proof shortened by Andrew Salmon, 25-May-2011) (New usage is discouraged.) (Proof modification is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | eqtr2OLD | |- ( ( A = B /\ A = C ) -> B = C ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eqcom | |- ( A = B <-> B = A ) |
|
| 2 | eqtr | |- ( ( B = A /\ A = C ) -> B = C ) |
|
| 3 | 1 2 | sylanb | |- ( ( A = B /\ A = C ) -> B = C ) |