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Mirrors > Home > ILE Home > Th. List > mo3h | Unicode version |
Description: Alternate definition of
"at most one." Definition of [BellMachover]
p. 460, except that definition has the side condition that ![]() ![]() |
Ref | Expression |
---|---|
mo3h.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
mo3h |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mo3h.1 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | nfi 1397 |
. . . . . 6
![]() ![]() ![]() ![]() |
3 | 2 | eu2 1993 |
. . . . 5
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4 | 3 | imbi2i 225 |
. . . 4
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5 | df-mo 1953 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | anclb 313 |
. . . 4
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7 | 4, 5, 6 | 3bitr4i 211 |
. . 3
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8 | 19.38 1612 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
9 | 2 | 19.21 1521 |
. . . . . 6
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10 | 9 | albii 1405 |
. . . . 5
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11 | 8, 10 | sylibr 133 |
. . . 4
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12 | anabs5 541 |
. . . . . 6
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13 | pm3.31 259 |
. . . . . 6
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14 | 12, 13 | syl5bir 152 |
. . . . 5
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15 | 14 | 2alimi 1391 |
. . . 4
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16 | 11, 15 | syl 14 |
. . 3
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17 | 7, 16 | sylbi 120 |
. 2
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18 | 3 | simplbi2com 1379 |
. . 3
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19 | 18, 5 | sylibr 133 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 17, 19 | impbii 125 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 666 ax-5 1382 ax-7 1383 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-10 1442 ax-11 1443 ax-i12 1444 ax-bndl 1445 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-i5r 1474 |
This theorem depends on definitions: df-bi 116 df-nf 1396 df-sb 1694 df-eu 1952 df-mo 1953 |
This theorem is referenced by: mo3 2003 mo2dc 2004 mo4f 2009 moim 2013 moimv 2015 moanim 2023 mopick 2027 |
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