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 |