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Mirrors > Home > ILE Home > Th. List > 2eu7 | Unicode version |
Description: Two equivalent expressions for double existential uniqueness. (Contributed by NM, 19-Feb-2005.) |
Ref | Expression |
---|---|
2eu7 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbe1 1429 |
. . . 4
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2 | 1 | hbeu 1969 |
. . 3
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3 | 2 | euan 2004 |
. 2
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4 | ancom 262 |
. . . . 5
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5 | 4 | eubii 1957 |
. . . 4
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6 | hbe1 1429 |
. . . . 5
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7 | 6 | euan 2004 |
. . . 4
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8 | ancom 262 |
. . . 4
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9 | 5, 7, 8 | 3bitri 204 |
. . 3
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10 | 9 | eubii 1957 |
. 2
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11 | ancom 262 |
. 2
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12 | 3, 10, 11 | 3bitr4ri 211 |
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-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-tru 1292 df-nf 1395 df-sb 1693 df-eu 1951 df-mo 1952 |
This theorem is referenced by: (None) |
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