Metamath Proof Explorer


Theorem fndm

Description: The domain of a function. (Contributed by NM, 2-Aug-1994)

Ref Expression
Assertion fndm
|- ( F Fn A -> dom F = A )

Proof

Step Hyp Ref Expression
1 df-fn
 |-  ( F Fn A <-> ( Fun F /\ dom F = A ) )
2 1 simprbi
 |-  ( F Fn A -> dom F = A )