Theorem ralel 2923

Description: All elements of a class are elements of the class. (Contributed by AV, 30-Oct-2020.)

Assertion

Ref	Expression
ralel	|- A. x e. A x e. A

Proof of Theorem ralel

Step	Hyp	Ref	Expression
1		id 22	. 2 |- ( x e. A -> x e. A )
2	1	rgen 2922	1 |- A. x e. A x e. A

Syntax hints:   e. wcel 1990   A.wral 2912

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722

This theorem depends on definitions:  df-bi 197  df-ral 2917

This theorem is referenced by:  raleleqALT  3157