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Theorem dveel2ALT 2269
 Description: Alternate proof of dveel2 2112 using ax-c16 2223 instead of ax-5 1704. (Contributed by NM, 10-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
dveel2ALT
Distinct variable group:   ,

Proof of Theorem dveel2ALT
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ax5el 2267 . 2
2 ax5el 2267 . 2
3 elequ2 1823 . 2
41, 2, 3dvelimh 2078 1
 Colors of variables: wff setvar class Syntax hints:  -.wn 3  ->wi 4  A.wal 1393 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-9 1822  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-c14 2222  ax-c16 2223 This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617
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