Theorem 19.23bi 1414

Description: Inference from Theorem 19.23 of [Margaris] p. 90.

Hypothesis

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

Assertion

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

Proof of Theorem 19.23bi

Step	Hyp	Ref	Expression
1		19.8a 1376	. 2 |- (ph -> E.xph)
2		19.23bi.1	. 2 |- (E.xph -> ps)
3	1, 2	syl 12	1 |- (ph -> ps)

Syntax hints:   -> wi 3  E.wex 1326

This theorem is referenced by:  2mo 1851  axreg 5696  fisub 14924

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-4 1319

This theorem depends on definitions:  df-bi 164  df-ex 1327

Copyright terms: Public domain