Theorem moan 1422

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 1418	1 |- (E*xph -> E*x(ps /\ ph))

Syntax hints:   -> wi 3   /\ wa 223  E*wmo 1381

This theorem is referenced by:  moani 1423  mooran1 1425  reuxfr2 2903  funin 3566  brdom4 4803

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 962  ax-gen 963  ax-8 964  ax-10 966  ax-11 967  ax-12 968  ax-17 971  ax-4 973  ax-5o 975  ax-6o 978  ax-9o 1123  ax-10o 1140  ax-16 1210  ax-11o 1218

This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225  df-ex 981  df-sb 1172  df-eu 1382  df-mo 1383

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