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Mirrors > Home > ILE Home > Th. List > eu3h | Unicode version |
Description: An alternate way to express existential uniqueness. (Contributed by NM, 8-Jul-1994.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eu3h.1 |
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Ref | Expression |
---|---|
eu3h |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | euex 1927 |
. . 3
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2 | eu3h.1 |
. . . 4
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3 | 2 | eumo0 1928 |
. . 3
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4 | 1, 3 | jca 290 |
. 2
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5 | 2 | nfi 1348 |
. . . . 5
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6 | 5 | mo23 1938 |
. . . 4
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7 | 6 | anim2i 324 |
. . 3
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8 | 5 | eu2 1941 |
. . 3
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9 | 7, 8 | sylibr 137 |
. 2
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10 | 4, 9 | impbii 117 |
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 99 ax-ia2 100 ax-ia3 101 ax-io 629 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 |
This theorem depends on definitions: df-bi 110 df-nf 1347 df-sb 1643 df-eu 1900 |
This theorem is referenced by: eu3 1943 mo2r 1949 2eu4 1990 |
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