Theorem 19.39 1433

Description: Theorem 19.39 of [Margaris] p. 90.

Assertion

Ref	Expression
19.39	|- ((E.xph -> E.xps) -> E.x(ph -> ps))

Proof of Theorem 19.39

Step	Hyp	Ref	Expression
1		19.2 1377	. . 3 |- (A.xph -> E.xph)
2	1	imim1i 19	. 2 |- ((E.xph -> E.xps) -> (A.xph -> E.xps))
3		19.35 1426	. 2 |- (E.x(ph -> ps) <-> (A.xph -> E.xps))
4	2, 3	sylibr 217	1 |- ((E.xph -> E.xps) -> E.x(ph -> ps))

Syntax hints:   -> wi 3  A.wal 1296  E.wex 1326

This theorem is referenced by:  iununi 3331  iununiOLD 3332

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-gen 1305  ax-4 1319  ax-5o 1321

This theorem depends on definitions:  df-bi 164  df-an 242  df-ex 1327

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