Description: An equality transitivity inference. (Contributed by NM, 6-May-1994)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | eqtr3i.1 | |- A = B |
|
| eqtr3i.2 | |- A = C |
||
| Assertion | eqtr3i | |- B = C |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eqtr3i.1 | |- A = B |
|
| 2 | eqtr3i.2 | |- A = C |
|
| 3 | 1 | eqcomi | |- B = A |
| 4 | 3 2 | eqtri | |- B = C |