Description: An equality transitivity inference. (Contributed by NM, 21-Feb-1995)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | eqtr2i.1 | ⊢ 𝐴 = 𝐵 | |
| eqtr2i.2 | ⊢ 𝐵 = 𝐶 | ||
| Assertion | eqtr2i | ⊢ 𝐶 = 𝐴 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eqtr2i.1 | ⊢ 𝐴 = 𝐵 | |
| 2 | eqtr2i.2 | ⊢ 𝐵 = 𝐶 | |
| 3 | 1 2 | eqtri | ⊢ 𝐴 = 𝐶 |
| 4 | 3 | eqcomi | ⊢ 𝐶 = 𝐴 |