Metamath Proof Explorer


Theorem rp-abid

Description: Two ways to express a class. (Contributed by RP, 13-Feb-2025)

Ref Expression
Assertion rp-abid ⊢ A = x | ∃ a ∈ A x = a

Proof

Step Hyp Ref Expression
1 clel5 ⊢ x ∈ A ↔ ∃ a ∈ A x = a
2 1 eqabi ⊢ A = x | ∃ a ∈ A x = a