Metamath Proof Explorer
Description: Equality inference for operation value. (Contributed by FL, 11-Jul-2010)
|
|
Ref |
Expression |
|
Hypotheses |
oveq123i.1 |
|- A = C |
|
|
oveq123i.2 |
|- B = D |
|
|
oveq123i.3 |
|- F = G |
|
Assertion |
oveq123i |
|- ( A F B ) = ( C G D ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
oveq123i.1 |
|- A = C |
| 2 |
|
oveq123i.2 |
|- B = D |
| 3 |
|
oveq123i.3 |
|- F = G |
| 4 |
1 2
|
oveq12i |
|- ( A F B ) = ( C F D ) |
| 5 |
3
|
oveqi |
|- ( C F D ) = ( C G D ) |
| 6 |
4 5
|
eqtri |
|- ( A F B ) = ( C G D ) |