Description: Obsolete version of fnrndomg as of 18-Aug-2026. (Contributed by NM, 1-Sep-2004) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | fnrndomgOLD | |- ( A e. B -> ( F Fn A -> ran F ~<_ A ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | dffn4 | |- ( F Fn A <-> F : A -onto-> ran F ) |
|
| 2 | fodomg | |- ( A e. B -> ( F : A -onto-> ran F -> ran F ~<_ A ) ) |
|
| 3 | 1 2 | biimtrid | |- ( A e. B -> ( F Fn A -> ran F ~<_ A ) ) |