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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 31111 | . 2 class Fix 𝐴 |
3 | cid 4948 | . . . 4 class I | |
4 | 1, 3 | cin 3539 | . . 3 class (𝐴 ∩ I ) |
5 | 4 | cdm 5038 | . 2 class dom (𝐴 ∩ I ) |
6 | 2, 5 | wceq 1475 | 1 wff Fix 𝐴 = dom (𝐴 ∩ I ) |
Colors of variables: wff setvar class |
This definition is referenced by: elfix 31180 fixssdm 31183 fixun 31186 |
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