Theorem 19.36i 1079

Description: Inference from Theorem 19.36 of [Margaris] p. 90.

Hypotheses

Ref	Expression
19.36i.1	|- (ps -> A.xps)
19.36i.2	|- E.x(ph -> ps)

Assertion

Ref	Expression
19.36i	|- (A.xph -> ps)

Proof of Theorem 19.36i

Step	Hyp	Ref	Expression
1		19.36i.2	. 2 |- E.x(ph -> ps)
2		19.36i.1	. . 3 |- (ps -> A.xps)
3	2	19.36 1078	. 2 |- (E.x(ph -> ps) <-> (A.xph -> ps))
4	1, 3	mpbi 189	1 |- (A.xph -> ps)

Syntax hints:   -> wi 3  A.wal 954  E.wex 980

This theorem is referenced by:  19.36aiv 1301  vtoclf 1841

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 963  ax-4 973  ax-5o 975  ax-6o 978

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 981

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