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