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Mirrors > Home > ILE Home > Th. List > nfsbxy | Unicode version |
Description: Similar to hbsb 1923
but with an extra distinct variable constraint, on
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Ref | Expression |
---|---|
nfsbxy.1 |
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Ref | Expression |
---|---|
nfsbxy |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-bndl 1487 |
. 2
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2 | nfs1v 1913 |
. . . 4
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3 | drsb1 1772 |
. . . . 5
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4 | 3 | drnf2 1713 |
. . . 4
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5 | 2, 4 | mpbii 147 |
. . 3
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6 | a16nf 1839 |
. . . 4
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7 | df-nf 1438 |
. . . . . 6
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8 | 7 | albii 1447 |
. . . . 5
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9 | sb5 1860 |
. . . . . 6
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10 | nfa1 1522 |
. . . . . . 7
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11 | sp 1489 |
. . . . . . . 8
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12 | nfsbxy.1 |
. . . . . . . . 9
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13 | 12 | a1i 9 |
. . . . . . . 8
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14 | 11, 13 | nfand 1548 |
. . . . . . 7
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15 | 10, 14 | nfexd 1735 |
. . . . . 6
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16 | 9, 15 | nfxfrd 1452 |
. . . . 5
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17 | 8, 16 | sylbir 134 |
. . . 4
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18 | 6, 17 | jaoi 706 |
. . 3
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19 | 5, 18 | jaoi 706 |
. 2
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20 | 1, 19 | ax-mp 5 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 |
This theorem is referenced by: nfsb 1920 sbalyz 1975 opelopabsb 4190 bezoutlemmain 11722 |
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