Description: An equality transitivity deduction. (Contributed by NM, 21-Jun-1993)
Ref | Expression | ||
---|---|---|---|
Hypotheses | syl5eq.1 | |- A = B |
|
syl5eq.2 | |- ( ph -> B = C ) |
||
Assertion | syl5eq | |- ( ph -> A = C ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl5eq.1 | |- A = B |
|
2 | syl5eq.2 | |- ( ph -> B = C ) |
|
3 | 1 | a1i | |- ( ph -> A = B ) |
4 | 3 2 | eqtrd | |- ( ph -> A = C ) |