Theorem currysetALT

Description: Alternate proof of curryset , or more precisely alternate exposal of the same proof. (Contributed by BJ, 23-Sep-2023) This proof is intuitionistically valid. (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	currysetALT	⊢ ¬ { 𝑥 ∣ ( 𝑥 ∈ 𝑥 → 𝜑 ) } ∈ 𝑉

Proof

Step	Hyp	Ref	Expression
1		eqid	⊢ { 𝑥 ∣ ( 𝑥 ∈ 𝑥 → 𝜑 ) } = { 𝑥 ∣ ( 𝑥 ∈ 𝑥 → 𝜑 ) }
2	1	currysetlem3	⊢ ¬ { 𝑥 ∣ ( 𝑥 ∈ 𝑥 → 𝜑 ) } ∈ 𝑉