Theorem 19.36aiv 1303

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

Hypothesis

Ref	Expression
19.36aiv.1	|- E.x(ph -> ps)

Assertion

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

Distinct variable group:   ps,x

Proof of Theorem 19.36aiv

Step	Hyp	Ref	Expression
1		ax-17 973	. 2 |- (ps -> A.xps)
2		19.36aiv.1	. 2 |- E.x(ph -> ps)
3	1, 2	19.36i 1081	1 |- (A.xph -> ps)

Syntax hints:   -> wi 3  A.wal 956  E.wex 982

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 965  ax-17 973  ax-4 975  ax-5o 977  ax-6o 980

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 983

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