Theorem 19.23bi 2061

Description: Inference form of Theorem 19.23 of [Margaris] p. 90, see 19.23 2080. (Contributed by NM, 12-Mar-1993.)

Hypothesis

Ref	Expression
19.23bi.1	|- ( E. x ph -> ps )

Assertion

Ref	Expression
19.23bi	|- ( ph -> ps )

Proof of Theorem 19.23bi

Step	Hyp	Ref	Expression
1		19.8a 2052	. 2 |- ( ph -> E. x ph )
2		19.23bi.1	. 2 |- ( E. x ph -> ps )
3	1, 2	syl 17	1 |- ( ph -> ps )

Syntax hints:   -> wi 4   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  ax-5 1839  ax-6 1888  ax-7 1935  ax-12 2047

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

This theorem is referenced by:  equs5eALT  2178  equs5e  2349  mo2v  2477  2mo  2551  copsexg  4956  axreg2  8498  hash1to3  13273  ustuqtop4  22048  f1omptsnlem  33183  mptsnunlem  33185