Theorem moan 1461

Description: "At most one" is still the case when a conjunct is added.

Assertion

Ref	Expression
moan	|- (E*xph -> E*x(ps /\ ph))

Proof of Theorem moan

Step	Hyp	Ref	Expression
1		pm3.27 321	. 2 |- ((ps /\ ph) -> ph)
2	1	immoi 1457	1 |- (E*xph -> E*x(ps /\ ph))

Syntax hints:   -> wi 3   /\ wa 221  E*wmo 1420

This theorem is referenced by:  moani 1462  mooran1 1464  reuxfr2 3126  funin 3671  brdom4 4949

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 998  ax-gen 999  ax-8 1000  ax-10 1002  ax-11 1003  ax-12 1004  ax-17 1007  ax-4 1009  ax-5o 1011  ax-6o 1014  ax-9o 1159  ax-10o 1177  ax-16 1247  ax-11o 1255

This theorem depends on definitions:  df-bi 145  df-or 222  df-an 223  df-ex 1017  df-sb 1209  df-eu 1421  df-mo 1422

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