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