Theorem 19.23 1910

Description: Theorem 19.23 of [Margaris] p. 90. See 19.23v 1760 for a version requiring fewer axioms. (Contributed by NM, 24-Jan-1993.) (Revised by Mario Carneiro, 24-Sep-2016.)

Hypothesis

Ref	Expression
19.23.1

Assertion

Ref	Expression
19.23

Proof of Theorem 19.23

Step	Hyp	Ref	Expression
1		19.23.1	. 2
2		19.23t 1909	. 2
3	1, 2	ax-mp 5	1

Syntax hints:  ->wi 4  <->wb 184  A.wal 1393  E.wex 1612  F/wnf 1616

This theorem is referenced by:  19.23h  1911  exlimi  1912  nf2  1960  19.23vOLD  1982  pm11.53  1983  equsal  2036  2sb6rf  2196  axc11n-16  2268  r19.3rz  3920  ralidm  3933  ssrelf  27466  axc11next  31313  bj-biexal1  34259  bj-biexex  34263  bj-equsalv  34309

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

This theorem depends on definitions:  df-bi 185  df-ex 1613  df-nf 1617