Theorem 19.35i 1072

Description: Inference from Theorem 19.35 of [Margaris] p. 90.

Hypothesis

Ref	Expression
19.35i.1	|- E.x(ph -> ps)

Assertion

Ref	Expression
19.35i	|- (A.xph -> E.xps)

Proof of Theorem 19.35i

Step	Hyp	Ref	Expression
1		19.35i.1	. 2 |- E.x(ph -> ps)
2		19.35 1071	. 2 |- (E.x(ph -> ps) <-> (A.xph -> E.xps))
3	1, 2	mpbi 189	1 |- (A.xph -> E.xps)

Syntax hints:   -> wi 3  A.wal 951  E.wex 977

This theorem is referenced by:  axrep4 2687  zfcndext 4937  zfcndrep 4938  zfcndinf 4942

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 960  ax-4 970  ax-5o 972

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 978

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