Theorem scottex2OLD

Description: Obsolete version of scottex as of 18-Jul-2026. (Contributed by Rohan Ridenour, 9-Aug-2023) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	scottex2OLD	$$⊢ScottA\in \mathrm{V}$$

Proof

Step	Hyp	Ref	Expression
1		df-scott	$$⊢ScottA=\left\{x\in A|\forall y\in A\mathrm{rank}\left(x\right)\subseteq \mathrm{rank}\left(y\right)\right\}$$
2		scottexOLD	$$⊢\left\{x\in A|\forall y\in A\mathrm{rank}\left(x\right)\subseteq \mathrm{rank}\left(y\right)\right\}\in \mathrm{V}$$
3	1 2	eqeltri	$$⊢ScottA\in \mathrm{V}$$