Theorem 19.20d 994

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 993	. 2 |- (A.xph -> (A.xps -> A.xch))
4	1, 3	syl 10	1 |- (ph -> (A.xps -> A.xch))

Syntax hints:   -> wi 3  A.wal 952

This theorem is referenced by:  hbald 1111  dral1 1152  ax16 1207  hbsb4 1246  ax16i 1268  19.20dv 1287  ax11indalem 1366  ax11inda2ALT 1367  r19.20da 1705  axpowndlem3 4931  axacndlem4 4942

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7  ax-gen 961  ax-4 971  ax-5o 973

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