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Theorem ralnex 2624
Description: Relationship between restricted universal and existential quantifiers. (Contributed by NM, 21-Jan-1997.)
Assertion
Ref Expression
ralnex

Proof of Theorem ralnex
StepHypRef Expression
1 df-ral 2619 . 2
2 alinexa 1578 . . 3
3 df-rex 2620 . . 3
42, 3xchbinxr 302 . 2
51, 4bitri 240 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4   wb 176   wa 358  wal 1540  wex 1541   wcel 1710  wral 2614  wrex 2615
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-ral 2619  df-rex 2620
This theorem is referenced by:  dfrex2  2627  ralinexa  2659  nrex  2716  nrexdv  2717  r19.43  2766  rabeq0  3572  iindif2  4035  evenodddisj  4516  rexiunxp  4824
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