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Mirrors > Home > NFE Home > Th. List > fdmi | GIF version |
Description: The domain of a mapping. (Contributed by set.mm contributors, 28-Jul-2008.) |
Ref | Expression |
---|---|
fdmi.1 | ⊢ F:A–→B |
Ref | Expression |
---|---|
fdmi | ⊢ dom F = A |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fdmi.1 | . 2 ⊢ F:A–→B | |
2 | fdm 5226 | . 2 ⊢ (F:A–→B → dom F = A) | |
3 | 1, 2 | ax-mp 8 | 1 ⊢ dom F = A |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1642 dom cdm 4772 –→wf 4777 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
This theorem depends on definitions: df-bi 177 df-an 360 df-fn 4790 df-f 4791 |
This theorem is referenced by: f0cli 5418 |
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