Description: Define the class of all fixpoints of a relationship. (Contributed by Scott Fenton, 11-Apr-2012)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-fix | |- Fix A = dom ( A i^i _I ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cA | |- A |
|
| 1 | 0 | cfix | |- Fix A |
| 2 | cid | |- _I |
|
| 3 | 0 2 | cin | |- ( A i^i _I ) |
| 4 | 3 | cdm | |- dom ( A i^i _I ) |
| 5 | 1 4 | wceq | |- Fix A = dom ( A i^i _I ) |