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Theorem dveeq2ALT 2082
Description: Alternate proof of dveeq2 2042, shorter but requiring ax-11 1842. (Contributed by NM, 2-Jan-2002.) (Revised by NM, 20-Jul-2015.) (New usage is discouraged.) (Proof modification is discouraged.)
Assertion
Ref Expression
dveeq2ALT
Distinct variable group:   ,

Proof of Theorem dveeq2ALT
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 equequ2 1799 . 2
21dvelimv 2080 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-10 1837  ax-11 1842  ax-12 1854  ax-13 1999
This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617
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