Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Power Sets
Operations
oveq1d
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oveq2d
Metamath Proof Explorer
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Theorem
oveq1d
Description:
Equality deduction for operation value.
(Contributed by
NM
, 13-Mar-1995)
Ref
Expression
Hypothesis
oveq1d.1
⊢
φ
→
A
=
B
Assertion
oveq1d
⊢
φ
→
A
F
C
=
B
F
C
Proof
Step
Hyp
Ref
Expression
1
oveq1d.1
⊢
φ
→
A
=
B
2
oveq1
⊢
A
=
B
→
A
F
C
=
B
F
C
3
1
2
syl
⊢
φ
→
A
F
C
=
B
F
C