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Theorem axc15 2085
 Description: Derivation of set.mm's original ax-c15 2220 from ax-c11n 2219 and the shorter ax-12 1854 that has replaced it. Theorem ax12 2234 shows the reverse derivation of ax-12 1854 from ax-c15 2220. Normally, axc15 2085 should be used rather than ax-c15 2220, except by theorems specifically studying the latter's properties. (Contributed by NM, 3-Feb-2007.)
Assertion
Ref Expression
axc15

Proof of Theorem axc15
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ax-12 1854 . 2
21ax12a2 2084 1
 Colors of variables: wff setvar class Syntax hints:  -.wn 3  ->wi 4  A.wal 1393 This theorem is referenced by:  ax12b  2086  equs5  2092  ax12vALT  2171 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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