Theorem axc11 2054

Description: Show that ax-c11 2218 can be derived from ax-c11n 2219 in the form of axc11n 2049. Normally, axc11 2054 should be used rather than ax-c11 2218, except by theorems specifically studying the latter's properties. (Contributed by NM, 16-May-2008.) (Proof shortened by Wolf Lammen, 21-Apr-2018.)

Assertion

Ref	Expression
axc11

Proof of Theorem axc11

Step	Hyp	Ref	Expression
1		axc112 1937	. 2
2	1	aecoms 2052	1

Syntax hints:  ->wi 4  A.wal 1393

This theorem is referenced by:  hbae  2055  axc16gOLD  2061  dral1  2067  dral1ALT  2068  nd1  8983  nd2  8984  axpowndlem3OLD  8997  wl-aetr  29983  ax6e2eq  33330  ax6e2eqVD  33707  2sb5ndVD  33710  2sb5ndALT  33732  bj-hbaeb2  34391

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