Theorem moan 1415

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		pm3.27 323	. 2 |- ((ps /\ ph) -> ph)
2	1	immoi 1411	1 |- (E*xph -> E*x(ps /\ ph))

Syntax hints:   -> wi 3   /\ wa 223  E*wmo 1374

This theorem is referenced by:  moani 1416  mooran1 1418  reuxfr2 2893  funin 3552  brdom4 4775

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 959  ax-gen 960  ax-8 961  ax-10 963  ax-11 964  ax-12 965  ax-17 968  ax-4 970  ax-5o 972  ax-6o 975  ax-9o 1119  ax-10o 1136  ax-16 1206  ax-11o 1213

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 978  df-sb 1168  df-eu 1375  df-mo 1376

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