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Theorem ralel 3146
Description: All elements of a class are elements of the class. (Contributed by AV, 30-Oct-2020.)
Assertion
Ref Expression
ralel 𝑥𝐴 𝑥𝐴

Proof of Theorem ralel
StepHypRef Expression
1 id 22 . 2 (𝑥𝐴𝑥𝐴)
21rgen 3145 1 𝑥𝐴 𝑥𝐴
Colors of variables: wff setvar class
Syntax hints:  wcel 2105  wral 3135
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1787
This theorem depends on definitions:  df-bi 208  df-ral 3140
This theorem is referenced by:  raleleqALT  3426  rexuz3  14696  uvtx01vtx  27106  refrelcosslem  35582
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