Metamath Proof Explorer


Theorem oveq123i

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 )