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Theorem dvdemo1 4687
Description: Demonstration of a theorem (scheme) that requires (meta)variables and to be distinct, but no others. It bundles the theorem schemes and . Compare dvdemo2 4688. ("Bundles" is a term introduced by Raph Levien.) (Contributed by NM, 1-Dec-2006.)
Assertion
Ref Expression
dvdemo1
Distinct variable group:   ,

Proof of Theorem dvdemo1
StepHypRef Expression
1 dtru 4643 . . 3
2 exnal 1648 . . 3
31, 2mpbir 209 . 2
4 pm2.21 108 . 2
53, 4eximii 1658 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  A.wal 1393  E.wex 1612
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-8 1820  ax-9 1822  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-nul 4581  ax-pow 4630
This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1398  df-ex 1613  df-nf 1617
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