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Theorem alral 2361
Description: Universal quantification implies restricted quantification. (Contributed by NM, 20-Oct-2006.)
Assertion
Ref Expression
alral

Proof of Theorem alral
StepHypRef Expression
1 ax-1 5 . . 3
21alimi 1341 . 2
3 df-ral 2305 . 2
42, 3sylibr 137 1
Colors of variables: wff set class
Syntax hints:   wi 4  wal 1240   wcel 1390  wral 2300
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335
This theorem depends on definitions:  df-bi 110  df-ral 2305
This theorem is referenced by:  find  4265  findset  9379
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