Theorem 19.36 1964

Description: Theorem 19.36 of [Margaris] p. 90. See 19.36v 1762 for a version requiring fewer axioms. (Contributed by NM, 24-Jun-1993.)

Hypothesis

Ref	Expression
19.36.1

Assertion

Ref	Expression
19.36

Proof of Theorem 19.36

Step	Hyp	Ref	Expression
1		19.35 1687	. 2
2		19.36.1	. . . 4
3	2	19.9 1893	. . 3
4	3	imbi2i 312	. 2
5	1, 4	bitri 249	1

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

This theorem is referenced by:  19.36i  1965  19.36vOLD  1984  19.12vv  1986  spcimgft  3185  19.12b  29234

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