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Mirrors > Home > ILE Home > Th. List > exmoeudc | Unicode version |
Description: Existence in terms of "at most one" and uniqueness. (Contributed by Jim Kingdon, 3-Jul-2018.) |
Ref | Expression |
---|---|
exmoeudc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-mo 1952 |
. . . 4
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2 | 1 | biimpi 118 |
. . 3
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3 | 2 | com12 30 |
. 2
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4 | 1 | biimpri 131 |
. . . 4
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5 | euex 1978 |
. . . 4
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6 | 4, 5 | imim12i 58 |
. . 3
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7 | peircedc 858 |
. . 3
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8 | 6, 7 | syl5 32 |
. 2
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9 | 3, 8 | impbid2 141 |
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 104 ax-ia2 105 ax-ia3 106 ax-in2 580 ax-io 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-bndl 1444 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 |
This theorem depends on definitions: df-bi 115 df-dc 781 df-nf 1395 df-sb 1693 df-eu 1951 df-mo 1952 |
This theorem is referenced by: (None) |
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