Theorem 19.20d 1037

Description: Deduction from Theorem 19.20 of [Margaris] p. 90.

Hypotheses

Ref	Expression
19.20d.1	|- (ph -> A.xph)
19.20d.2	|- (ph -> (ps -> ch))

Assertion

Ref	Expression
19.20d	|- (ph -> (A.xps -> A.xch))

Proof of Theorem 19.20d

Step	Hyp	Ref	Expression
1		19.20d.1	. 2 |- (ph -> A.xph)
2		19.20d.2	. . 3 |- (ph -> (ps -> ch))
3	2	19.20ii 1036	. 2 |- (A.xph -> (A.xps -> A.xch))
4	1, 3	syl 10	1 |- (ph -> (A.xps -> A.xch))

Syntax hints:   -> wi 3  A.wal 995

This theorem is referenced by:  hbald 1154  dral1 1196  ax16 1251  hbsb4 1290  ax16i 1312  19.20dv 1331  ax11indalem 1410  ax11inda2ALT 1411  r19.20da 1755  axpowndlem3 5016  axacndlem4 5027

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7  ax-gen 1004  ax-4 1014  ax-5o 1016

Copyright terms: Public domain