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Theorem spimt 2005
Description: Closed theorem form of spim 2006. (Contributed by NM, 15-Jan-2008.) (Revised by Mario Carneiro, 17-Oct-2016.) (Proof shortened by Wolf Lammen, 24-Feb-2018.)
Assertion
Ref Expression
spimt

Proof of Theorem spimt
StepHypRef Expression
1 ax6e 2002 . . . 4
2 exim 1654 . . . 4
31, 2mpi 17 . . 3
4 19.35 1687 . . 3
53, 4sylib 196 . 2
6 19.9t 1890 . . 3
76biimpd 207 . 2
85, 7sylan9r 658 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369  A.wal 1393  E.wex 1612  F/wnf 1616
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-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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