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Mirrors > Home > ILE Home > Th. List > iota2 | Unicode version |
Description: The unique element such
that ![]() |
Ref | Expression |
---|---|
iota2.1 |
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Ref | Expression |
---|---|
iota2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 2631 |
. 2
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2 | simpl 108 |
. . 3
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3 | simpr 109 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | iota2.1 |
. . . 4
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5 | 4 | adantl 272 |
. . 3
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6 | nfv 1467 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() | |
7 | nfeu1 1960 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() | |
8 | 6, 7 | nfan 1503 |
. . 3
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9 | nfvd 1468 |
. . 3
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10 | nfcvd 2230 |
. . 3
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11 | 2, 3, 5, 8, 9, 10 | iota2df 5017 |
. 2
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12 | 1, 11 | sylan 278 |
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 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-3an 927 df-tru 1293 df-nf 1396 df-sb 1694 df-eu 1952 df-clab 2076 df-cleq 2082 df-clel 2085 df-nfc 2218 df-rex 2366 df-v 2622 df-sbc 2842 df-un 3004 df-sn 3456 df-pr 3457 df-uni 3660 df-iota 4993 |
This theorem is referenced by: (None) |
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