Metamath Proof Explorer


Theorem issetiOLD

Description: Obsolete version of isseti as of 28-Aug-2023. A way to say " A is a set" (inference form). (Contributed by NM, 24-Jun-1993) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis isseti.1 𝐴 ∈ V
Assertion issetiOLD 𝑥 𝑥 = 𝐴

Proof

Step Hyp Ref Expression
1 isseti.1 𝐴 ∈ V
2 isset ( 𝐴 ∈ V ↔ ∃ 𝑥 𝑥 = 𝐴 )
3 1 2 mpbi 𝑥 𝑥 = 𝐴