Theorem 19.35i 1806

Description: Inference associated with 19.35 1805. (Contributed by NM, 21-Jun-1993.)

Hypothesis

Ref	Expression
19.35i.1	|- E. x ( ph -> ps )

Assertion

Ref	Expression
19.35i	|- ( A. x ph -> E. x ps )

Proof of Theorem 19.35i

Step	Hyp	Ref	Expression
1		19.35i.1	. 2 |- E. x ( ph -> ps )
2		19.35 1805	. 2 |- ( E. x ( ph -> ps ) <-> ( A. x ph -> E. x ps ) )
3	1, 2	mpbi 220	1 |- ( A. x ph -> E. x ps )

Syntax hints:   -> wi 4   A.wal 1481   E.wex 1704

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737

This theorem depends on definitions:  df-bi 197  df-ex 1705

This theorem is referenced by:  19.2  1892  spimeh  1925  ax6e  2250  spimed  2255  equvini  2346  equvel  2347  euex  2494  axrep4  4775  zfcndrep  9436  bj-ax6elem2  32652  bj-spimedv  32719  bj-axrep4  32791  wl-exeq  33321  spd  42425