Metamath Proof Explorer


Definition df-fix

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 )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cA 𝐴
1 0 cfix Fix 𝐴
2 cid I
3 0 2 cin ( 𝐴 ∩ I )
4 3 cdm dom ( 𝐴 ∩ I )
5 1 4 wceq Fix 𝐴 = dom ( 𝐴 ∩ I )