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| Mirrors > Home > NFE Home > Th. List > df-fix | GIF version | ||
| Description: Define the fixed points of a relationship. (Contributed by SF, 9-Feb-2015.) |
| Ref | Expression |
|---|---|
| df-fix | ⊢ Fix A = ran (A ∩ I ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class A | |
| 2 | 1 | cfix 5740 | . 2 class Fix A |
| 3 | cid 4764 | . . . 4 class I | |
| 4 | 1, 3 | cin 3209 | . . 3 class (A ∩ I ) |
| 5 | 4 | crn 4774 | . 2 class ran (A ∩ I ) |
| 6 | 2, 5 | wceq 1642 | 1 wff Fix A = ran (A ∩ I ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: elfix 5788 fixexg 5789 |
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