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Theorem bnj1171 29802
 Description: Technical lemma for bnj69 29812. This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.)
Hypotheses
Ref Expression
bnj1171.13
bnj1171.129
Assertion
Ref Expression
bnj1171

Proof of Theorem bnj1171
StepHypRef Expression
1 bnj1171.129 . 2
2 bnj1171.13 . . . . . . . . . . 11
32sseld 3430 . . . . . . . . . 10
43pm4.71rd 640 . . . . . . . . 9
54imbi1d 319 . . . . . . . 8
6 impexp 448 . . . . . . . 8
75, 6syl6bb 265 . . . . . . 7
8 con2b 336 . . . . . . . 8
98imbi2i 314 . . . . . . 7
107, 9syl6bbr 267 . . . . . 6
1110anbi2d 709 . . . . 5
1211pm5.74i 249 . . . 4
1312albii 1690 . . 3
1413exbii 1717 . 2
151, 14mpbir 213 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4   wa 371  wal 1441  wex 1662   wcel 1886   wss 3403   class class class wbr 4401 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1668  ax-4 1681  ax-5 1757  ax-6 1804  ax-7 1850  ax-10 1914  ax-11 1919  ax-12 1932  ax-13 2090  ax-ext 2430 This theorem depends on definitions:  df-bi 189  df-an 373  df-tru 1446  df-ex 1663  df-nf 1667  df-sb 1797  df-clab 2437  df-cleq 2443  df-clel 2446  df-in 3410  df-ss 3417 This theorem is referenced by:  bnj1190  29810
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