Metamath Proof Explorer


Theorem fndmi

Description: The domain of a function. (Contributed by Wolf Lammen, 1-Jun-2024)

Ref Expression
Hypothesis fndmi.1
|- F Fn A
Assertion fndmi
|- dom F = A

Proof

Step Hyp Ref Expression
1 fndmi.1
 |-  F Fn A
2 fndm
 |-  ( F Fn A -> dom F = A )
3 1 2 ax-mp
 |-  dom F = A