Metamath Proof Explorer

Theorem brssrid

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

Ref Expression
Assertion brssrid 
|- ( A e. V -> A _S A )

Proof

Step Hyp Ref Expression
1 ssid 
 |-  A C_ A
2 brssr 
 |-  ( A e. V -> ( A _S A <-> A C_ A ) )
3 1 2 mpbiri 
 |-  ( A e. V -> A _S A )