Theorem 19.23v 1760

Description: Special case of Theorem 19.23 of [Margaris] p. 90. (Contributed by NM, 28-Jun-1998.)

Assertion

Ref	Expression
19.23v	|- (A.x(ph -> ps) <-> (E.xph -> ps))

Distinct variable group:   ps,x

Allowed substitution hint:   ph(x)

Proof of Theorem 19.23v

Step	Hyp	Ref	Expression
1		ax-17 1416	. 2 |- (ps -> A.xps)
2	1	19.23h 1384	1 |- (A.x(ph -> ps) <-> (E.xph -> ps))

Syntax hints:   -> wi 4   <-> wb 98  A.wal 1240  E.wex 1378

This theorem was proved from axioms:  ax-mp 7  ax-gen 1335  ax-ie2 1380  ax-17 1416

This theorem is referenced by:  19.23vv  1761  2eu4  1990  gencbval  2596  euind  2722  reuind  2738  unissb  3601  dftr2  3847  ssrelrel  4383  cotr  4649  dffun2  4855  fununi  4910  dff13  5350  acexmidlem2  5452