Theorem scottss

Description: Scott's trick produces a subset of the input class. (Contributed by Rohan Ridenour, 11-Aug-2023)

	Ref	Expression
Assertion	scottss	$$⊢ScottA\subseteq A$$

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	1	ssrab3	$$⊢ScottA\subseteq A$$