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Theorem spimehOLD 1821
 Description: Obsolete proof of spimeh 1667 as of 10-Dec-2017. (Contributed by NM, 7-Aug-1994.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
spimehOLD.1
spimehOLD.2
Assertion
Ref Expression
spimehOLD
Distinct variable group:   ,
Allowed substitution hints:   (,)   (,)

Proof of Theorem spimehOLD
StepHypRef Expression
1 ax9v 1655 . . . 4
2 id 19 . . . . . . 7
32hbth 1552 . . . . . . . 8
4 hba1 1786 . . . . . . . . 9
54a1i 10 . . . . . . . 8
6 spimehOLD.1 . . . . . . . . . 10
76hbn 1776 . . . . . . . . 9
87a1i 10 . . . . . . . 8
93, 5, 8hbimd 1815 . . . . . . 7
102, 9ax-mp 5 . . . . . 6
1110hbn 1776 . . . . 5
12 spimehOLD.2 . . . . . . 7
13 sp 1747 . . . . . . 7
1412, 13nsyli 133 . . . . . 6
1514con3i 127 . . . . 5
1611, 15alrimih 1565 . . . 4
171, 16mt3 171 . . 3
1817con2i 112 . 2
19 df-ex 1542 . 2
2018, 19sylibr 203 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4  wal 1540  wex 1541 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746 This theorem depends on definitions:  df-bi 177  df-ex 1542  df-nf 1545 This theorem is referenced by: (None)
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