Theorem euimmo 2343

Description: Uniqueness implies "at most one" through implication. (Contributed by NM, 22-Apr-1995.)

Assertion

Ref	Expression
euimmo

Proof of Theorem euimmo

Step	Hyp	Ref	Expression
1		eumo 2313	. 2
2		moim 2339	. 2
3	1, 2	syl5 32	1

Syntax hints:  ->wi 4  A.wal 1393  E!weu 2282  E*wmo 2283

This theorem is referenced by:  euim  2344  2eumo  2367  moeq3  3276  reuss2  3777

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-10 1837  ax-12 1854

This theorem depends on definitions:  df-bi 185  df-an 371  df-ex 1613  df-nf 1617  df-eu 2286  df-mo 2287