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Theorem chvarv 2013
Description: Implicit substitution of for into a theorem. (Contributed by NM, 20-Apr-1994.)
Hypotheses
Ref Expression
chv.1
chv.2
Assertion
Ref Expression
chvarv
Distinct variable group:   ,
Allowed substitution hints:   (,)   ()

Proof of Theorem chvarv
StepHypRef Expression
1 chv.1 . . 3
21spv 1998 . 2
3 chv.2 . 2
42, 3mpg 1548 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545
This theorem is referenced by:  axext3  2336
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