Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Power Sets
Operations
oveq2i
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oveq12i
Metamath Proof Explorer
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Theorem
oveq2i
Description:
Equality inference for operation value.
(Contributed by
NM
, 28-Feb-1995)
Ref
Expression
Hypothesis
oveq1i.1
⊢
A
=
B
Assertion
oveq2i
⊢
C
F
A
=
C
F
B
Proof
Step
Hyp
Ref
Expression
1
oveq1i.1
⊢
A
=
B
2
oveq2
⊢
A
=
B
→
C
F
A
=
C
F
B
3
1
2
ax-mp
⊢
C
F
A
=
C
F
B