Metamath Proof Explorer


Theorem issetri

Description: A way to say " A is a set" (inference form). (Contributed by NM, 21-Jun-1993)

Ref Expression
Hypothesis issetri.1 ⊢ ∃ x x = A
Assertion issetri ⊢ A ∈ V

Proof

Step Hyp Ref Expression
1 issetri.1 ⊢ ∃ x x = A
2 isset ⊢ A ∈ V ↔ ∃ x x = A
3 1 2 mpbir ⊢ A ∈ V