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Theorem ax9o 1950
 Description: Show that the original axiom ax-9o 2188 can be derived from ax9 1949 and others. See ax9from9o 2198 for the rederivation of ax9 1949 from ax-9o 2188. Normally, ax9o 1950 should be used rather than ax-9o 2188, except by theorems specifically studying the latter's properties. (Contributed by NM, 5-Aug-1993.) (Proof modification is discouraged.)
Assertion
Ref Expression
ax9o

Proof of Theorem ax9o
StepHypRef Expression
1 ax9 1949 . . 3
2 con3 128 . . . 4
32al2imi 1567 . . 3
41, 3mtoi 171 . 2
5 ax6o 1762 . 2
64, 5syl 16 1
 Colors of variables: wff set class Syntax hints:   wn 3   wi 4  wal 1546 This theorem is referenced by:  spimtOLD  1954  equsalOLD  1967  cbv1h  2031 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1552  ax-5 1563  ax-17 1623  ax-9 1662  ax-8 1683  ax-6 1740  ax-11 1757  ax-12 1946 This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1548
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