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Theorem spimed 2007
 Description: Deduction version of spime 2008. (Contributed by NM, 14-May-1993.) (Revised by Mario Carneiro, 3-Oct-2016.) (Proof shortened by Wolf Lammen, 19-Feb-2018.)
Hypotheses
Ref Expression
spimed.1
spimed.2
Assertion
Ref Expression
spimed

Proof of Theorem spimed
StepHypRef Expression
1 spimed.1 . . 3
21nfrd 1875 . 2
3 ax6e 2002 . . . 4
4 spimed.2 . . . 4
53, 4eximii 1658 . . 3
6519.35i 1689 . 2
72, 6syl6 33 1
 Colors of variables: wff setvar class Syntax hints:  ->wi 4  A.wal 1393  E.wex 1612  F/wnf 1616 This theorem is referenced by:  spime  2008  2ax6elem  2193 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-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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