Definition df-mo 1360

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 1378. For other possible definitions see mo2 1377 and mo4 1380.

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 1358	. 2 wff E*xph
4	1, 2	wex 956	. . 3 wff E.xph
5	1, 2	weu 1357	. . 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 1377  mobid 1381  hbmo1 1383  hbmo 1384  cbvmo 1385  exmoeu 1390  moabs 1392  exmo 1393  moeq 1892

Copyright terms: Public domain