Definition df-mo 1385

Description: Define "there exists at most one x such that ph." Here we define it in terms of existential uniqueness. Notation of [BellMachover] p. 460, whose definition we show as mo3 1403. For other possible definitions see mo2 1402 and mo4 1405.

Assertion

Ref	Expression
df-mo	|- (E*xph <-> (E.xph -> E!xph))

Detailed syntax breakdown of Definition df-mo

Step	Hyp	Ref	Expression
1		wph	. . 3 wff ph
2		vx	. . 3 set x
3	1, 2	wmo 1383	. 2 wff E*xph
4	1, 2	wex 982	. . 3 wff E.xph
5	1, 2	weu 1382	. . 3 wff E!xph
6	4, 5	wi 3	. 2 wff (E.xph -> E!xph)
7	3, 6	wb 146	1 wff (E*xph <-> (E.xph -> E!xph))

This definition is referenced by:  mo2 1402  mobid 1406  hbmo1 1408  hbmo 1409  cbvmo 1410  exmoeu 1415  moabs 1417  exmo 1418  moeq 1923

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