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Definition df-mo 1381
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 1399. For other possible definitions see mo2 1398 and mo4 1401.
Assertion
Ref Expression
df-mo |- (E*xph <-> (E.xph -> E!xph))

Detailed syntax breakdown of Definition df-mo
StepHypRef Expression
1 wph . . 3 wff ph
2 vx . . 3 set x
31, 2wmo 1379 . 2 wff E*xph
41, 2wex 978 . . 3 wff E.xph
51, 2weu 1378 . . 3 wff E!xph
64, 5wi 3 . 2 wff (E.xph -> E!xph)
73, 6wb 146 1 wff (E*xph <-> (E.xph -> E!xph))
Colors of variables: wff set class
This definition is referenced by:  mo2 1398  mobid 1402  hbmo1 1404  hbmo 1405  cbvmo 1406  exmoeu 1411  moabs 1413  exmo 1414  moeq 1916
Copyright terms: Public domain