Theorem ralndv1

Description: Example for a theorem about a restricted universal quantification in which the restricting class depends on (actually is) the bound variable: All sets containing themselves contain the universal class. (Contributed by AV, 24-Jun-2023)

	Ref	Expression
Assertion	ralndv1	|- A. x e. x _V e. x

Proof

Step	Hyp	Ref	Expression
1		elirrv	|- -. x e. x
2	1	pm2.21i	|- ( x e. x -> _V e. x )
3	2	rgen	|- A. x e. x _V e. x