Theorem scottex2

Description: scottex expressed using Scott . (Contributed by Rohan Ridenour, 9-Aug-2023)

	Ref	Expression
Assertion	scottex2	$$⊢ScottA\in \mathrm{V}$$

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		scottex	$$⊢\left\{x\in A|\forall y\in A\mathrm{rank}\left(x\right)\subseteq \mathrm{rank}\left(y\right)\right\}\in \mathrm{V}$$
3	1 2	eqeltri	$$⊢ScottA\in \mathrm{V}$$