Metamath Proof Explorer


Theorem abid2

Description: A simplification of class abstraction. Commuted form of abid1 . See comments there. (Contributed by NM, 26-Dec-1993)

Ref Expression
Assertion abid2 { 𝑥 ∣ 𝑥 ∈ 𝐴 } = 𝐴

Proof

Step Hyp Ref Expression
1 abid1 ⊢ 𝐴 = { 𝑥 ∣ 𝑥 ∈ 𝐴 }
2 1 eqcomi ⊢ { 𝑥 ∣ 𝑥 ∈ 𝐴 } = 𝐴