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Theorem ralbii2 2328
Description: Inference adding different restricted universal quantifiers to each side of an equivalence. (Contributed by NM, 15-Aug-2005.)
Hypothesis
Ref Expression
ralbii2.1
Assertion
Ref Expression
ralbii2

Proof of Theorem ralbii2
StepHypRef Expression
1 ralbii2.1 . . 3
21albii 1356 . 2
3 df-ral 2305 . 2
4 df-ral 2305 . 2
52, 3, 43bitr4i 201 1
Colors of variables: wff set class
Syntax hints:   wi 4   wb 98  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:  raleqbii  2330  ralbiia  2332  ralrab  2696  raldifb  3077  raluz2  8298  ralrp  8379
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