Theorem brssrid

Description: Any set is a subset of itself. (Contributed by Peter Mazsa, 1-Aug-2019)

	Ref	Expression
Assertion	brssrid	$$⊢A\in V\to A\mathrm{S}A$$

Proof

Step	Hyp	Ref	Expression
1		ssid	$$⊢A\subseteq A$$
2		brssr	$$⊢A\in V\to \left(A\mathrm{S}A\leftrightarrow A\subseteq A\right)$$
3	1 2	mpbiri	$$⊢A\in V\to A\mathrm{S}A$$