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 |