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Mirrors > Home > ILE Home > Th. List > sb8iota | Unicode version |
Description: Variable substitution in description binder. Compare sb8eu 2039. (Contributed by NM, 18-Mar-2013.) |
Ref | Expression |
---|---|
sb8iota.1 |
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Ref | Expression |
---|---|
sb8iota |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1528 |
. . . . . 6
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2 | 1 | sb8 1856 |
. . . . 5
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3 | sbbi 1959 |
. . . . . . 7
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4 | sb8iota.1 |
. . . . . . . . 9
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5 | 4 | nfsb 1946 |
. . . . . . . 8
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6 | equsb3 1951 |
. . . . . . . . 9
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7 | nfv 1528 |
. . . . . . . . 9
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8 | 6, 7 | nfxfr 1474 |
. . . . . . . 8
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9 | 5, 8 | nfbi 1589 |
. . . . . . 7
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10 | 3, 9 | nfxfr 1474 |
. . . . . 6
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11 | nfv 1528 |
. . . . . 6
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12 | sbequ 1840 |
. . . . . 6
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13 | 10, 11, 12 | cbval 1754 |
. . . . 5
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14 | equsb3 1951 |
. . . . . . 7
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15 | 14 | sblbis 1960 |
. . . . . 6
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16 | 15 | albii 1470 |
. . . . 5
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17 | 2, 13, 16 | 3bitri 206 |
. . . 4
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18 | 17 | abbii 2293 |
. . 3
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19 | 18 | unieqi 3817 |
. 2
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20 | dfiota2 5175 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
21 | dfiota2 5175 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
22 | 19, 20, 21 | 3eqtr4i 2208 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-rex 2461 df-sn 3597 df-uni 3808 df-iota 5174 |
This theorem is referenced by: (None) |
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