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^i _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^i _I )
4 3 cdm
 |-  dom ( A i^i _I )
5 1 4 wceq
 |-  Fix A = dom ( A i^i _I )