Metamath Proof Explorer


Theorem oveq

Description: Equality theorem for operation value. (Contributed by NM, 28-Feb-1995)

Ref Expression
Assertion oveq F=GAFB=AGB

Proof

Step Hyp Ref Expression
1 fveq1 F=GFAB=GAB
2 df-ov AFB=FAB
3 df-ov AGB=GAB
4 1 2 3 3eqtr4g F=GAFB=AGB