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Theorem spimv 1963
 Description: A version of spim 1957 with a distinct variable requirement instead of a bound variable hypothesis. (Contributed by NM, 5-Aug-1993.)
Hypothesis
Ref Expression
spimv.1
Assertion
Ref Expression
spimv
Distinct variable group:   ,
Allowed substitution hints:   (,)   ()

Proof of Theorem spimv
StepHypRef Expression
1 nfv 1629 . 2
2 spimv.1 . 2
31, 2spim 1957 1
 Colors of variables: wff set class Syntax hints:   wi 4  wal 1549 This theorem is referenced by:  spv  1965  aev  2047  ax16i  2130  aev-o  2258  reu6  3115  el  4373  ax10ext  27574 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-11 1761  ax-12 1950 This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1551  df-nf 1554
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