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Theorem a16gALT 2156
 Description: A generalization of axiom ax-16 2221. Alternate proof of a16g 2048 that uses df-sb 1659. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
a16gALT
Distinct variable group:   ,
Allowed substitution hints:   (,,)

Proof of Theorem a16gALT
StepHypRef Expression
1 aev 2047 . 2
2 ax16ALT2 2155 . 2
3 biidd 229 . . . 4
43dral1 2057 . . 3
54biimprd 215 . 2
61, 2, 5sylsyld 54 1
 Colors of variables: wff set class Syntax hints:   wi 4  wal 1549 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-7 1749  ax-11 1761  ax-12 1950 This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1551  df-nf 1554  df-sb 1659
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