Metamath Proof Explorer


Theorem bj-snglinv

Description: Inverse of singletonization. (Contributed by BJ, 6-Oct-2018)

Ref Expression
Assertion bj-snglinv ⊢ A = x | x ∈ sngl A

Proof

Step Hyp Ref Expression
1 bj-snglc ⊢ x ∈ A ↔ x ∈ sngl A
2 1 eqabi ⊢ A = x | x ∈ sngl A