Description: Substitution of equal classes into a binary relation. (Contributed by NM, 1-Aug-1999)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | eqbrtrr.1 | |- A = B |
|
| eqbrtrr.2 | |- A R C |
||
| Assertion | eqbrtrri | |- B R C |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eqbrtrr.1 | |- A = B |
|
| 2 | eqbrtrr.2 | |- A R C |
|
| 3 | 1 | eqcomi | |- B = A |
| 4 | 3 2 | eqbrtri | |- B R C |