Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - add the Axiom of Power Sets
Functions
fveq2i
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fveq2d
Metamath Proof Explorer
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Theorem
fveq2i
Description:
Equality inference for function value.
(Contributed by
NM
, 28-Jul-1999)
Ref
Expression
Hypothesis
fveq2i.1
⊢
A
=
B
Assertion
fveq2i
⊢
F
⁡
A
=
F
⁡
B
Proof
Step
Hyp
Ref
Expression
1
fveq2i.1
⊢
A
=
B
2
fveq2
⊢
A
=
B
→
F
⁡
A
=
F
⁡
B
3
1
2
ax-mp
⊢
F
⁡
A
=
F
⁡
B