exmoeu2 - Metamath Proof Explorer

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Theorem exmoeu2 2497

Description: Existence implies "at most one" is equivalent to uniqueness. (Contributed by NM, 5-Apr-2004.)

**Assertion**
Ref	Expression
exmoeu2

**Proof of Theorem exmoeu2**
Step	Hyp	Ref	Expression
1		eu5 2496	. 2 $/\$
2	1	baibr 945	1

Colors of variables: wff setvar class

Syntax hints:

wi 4

wb 196

wex 1704

weu 2470

wmo 2471

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888

This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-eu 2474 df-mo 2475

This theorem is referenced by: fneu 5995