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 |