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Theorem spimed 1930
 Description: Deduction version of spime 1929. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 3-Oct-2016.)
Hypotheses
Ref Expression
spimed.1
spimed.2
Assertion
Ref Expression
spimed

Proof of Theorem spimed
StepHypRef Expression
1 spimed.1 . 2
2 nfnf1 1769 . . . . 5
3 id 19 . . . . 5
42, 3nfan1 1834 . . . 4
5 spimed.2 . . . . 5
65adantld 453 . . . 4
74, 6spime 1929 . . 3
87ex 423 . 2
91, 8syl 15 1
 Colors of variables: wff set class Syntax hints:   wi 4   wa 358  wex 1531  wnf 1534 This theorem is referenced by:  equvini  1940 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-6 1715  ax-7 1720  ax-11 1727  ax-12 1878 This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1310  df-ex 1532  df-nf 1535
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