Description: An equality transitivity inference. (Contributed by NM, 26-May-1993)
Ref | Expression | ||
---|---|---|---|
Hypotheses | eqtr4i.1 | ⊢ 𝐴 = 𝐵 | |
eqtr4i.2 | ⊢ 𝐶 = 𝐵 | ||
Assertion | eqtr4i | ⊢ 𝐴 = 𝐶 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqtr4i.1 | ⊢ 𝐴 = 𝐵 | |
2 | eqtr4i.2 | ⊢ 𝐶 = 𝐵 | |
3 | 2 | eqcomi | ⊢ 𝐵 = 𝐶 |
4 | 1 3 | eqtri | ⊢ 𝐴 = 𝐶 |