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Mirrors > Home > ILE Home > Th. List > hbsbd | Unicode version |
Description: Deduction version of hbsb 1949. (Contributed by NM, 15-Feb-2013.) (Proof rewritten by Jim Kingdon, 23-Mar-2018.) |
Ref | Expression |
---|---|
hbsbd.1 |
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hbsbd.2 |
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hbsbd.3 |
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Ref | Expression |
---|---|
hbsbd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbsbd.2 |
. . . 4
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2 | 1 | nfi 1462 |
. . 3
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3 | hbsbd.3 |
. . . . . . 7
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4 | 1, 3 | nfdh 1524 |
. . . . . 6
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5 | 2, 4 | nfim1 1571 |
. . . . 5
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6 | 5 | nfsb 1946 |
. . . 4
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7 | hbsbd.1 |
. . . . . 6
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8 | 7 | sbrim 1956 |
. . . . 5
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9 | 8 | nfbii 1473 |
. . . 4
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10 | 6, 9 | mpbi 145 |
. . 3
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11 | 2, 10 | nfrimi 1525 |
. 2
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12 | 11 | nfrd 1520 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 |
This theorem is referenced by: (None) |
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