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 )