Theorem pwidgOLD

Description: Obsolete version of pwidg as of 10-Jun-2026. (Contributed by Stefan O'Rear, 1-Feb-2015) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	pwidgOLD	⊢ ( 𝐴 ∈ 𝑉 → 𝐴 ∈ 𝒫 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		ssid	⊢ 𝐴 ⊆ 𝐴
2		elpwg	⊢ ( 𝐴 ∈ 𝑉 → ( 𝐴 ∈ 𝒫 𝐴 ↔ 𝐴 ⊆ 𝐴 ) )
3	1 2	mpbiri	⊢ ( 𝐴 ∈ 𝑉 → 𝐴 ∈ 𝒫 𝐴 )