| Mathbox for Scott Fenton |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-fix | Structured version Visualization version GIF version | ||
| Description: Define the class of all fixpoints of a relationship. (Contributed by Scott Fenton, 11-Apr-2012.) |
| Ref | Expression |
|---|---|
| df-fix | ⊢ Fix 𝐴 = dom (𝐴 ∩ I ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class 𝐴 | |
| 2 | 1 | cfix 35770 | . 2 class Fix 𝐴 |
| 3 | cid 5557 | . . . 4 class I | |
| 4 | 1, 3 | cin 3930 | . . 3 class (𝐴 ∩ I ) |
| 5 | 4 | cdm 5665 | . 2 class dom (𝐴 ∩ I ) |
| 6 | 2, 5 | wceq 1539 | 1 wff Fix 𝐴 = dom (𝐴 ∩ I ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: elfix 35838 fixssdm 35841 fixun 35844 |
| Copyright terms: Public domain | W3C validator |