Description: An inference from three chained equalities. (Contributed by NM, 29-Aug-1993)
Ref | Expression | ||
---|---|---|---|
Hypotheses | 3eqtri.1 | ⊢ 𝐴 = 𝐵 | |
3eqtri.2 | ⊢ 𝐵 = 𝐶 | ||
3eqtri.3 | ⊢ 𝐶 = 𝐷 | ||
Assertion | 3eqtri | ⊢ 𝐴 = 𝐷 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3eqtri.1 | ⊢ 𝐴 = 𝐵 | |
2 | 3eqtri.2 | ⊢ 𝐵 = 𝐶 | |
3 | 3eqtri.3 | ⊢ 𝐶 = 𝐷 | |
4 | 2 3 | eqtri | ⊢ 𝐵 = 𝐷 |
5 | 1 4 | eqtri | ⊢ 𝐴 = 𝐷 |