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Mirrors > Home > ILE Home > Th. List > cbviota | Unicode version |
Description: Change bound variables in a description binder. (Contributed by Andrew Salmon, 1-Aug-2011.) |
Ref | Expression |
---|---|
cbviota.1 |
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cbviota.2 |
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cbviota.3 |
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Ref | Expression |
---|---|
cbviota |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1528 |
. . . . . 6
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2 | nfs1v 1939 |
. . . . . . 7
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3 | nfv 1528 |
. . . . . . 7
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4 | 2, 3 | nfbi 1589 |
. . . . . 6
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5 | sbequ12 1771 |
. . . . . . 7
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6 | equequ1 1712 |
. . . . . . 7
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7 | 5, 6 | bibi12d 235 |
. . . . . 6
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8 | 1, 4, 7 | cbval 1754 |
. . . . 5
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9 | cbviota.2 |
. . . . . . . 8
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10 | 9 | nfsb 1946 |
. . . . . . 7
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11 | nfv 1528 |
. . . . . . 7
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12 | 10, 11 | nfbi 1589 |
. . . . . 6
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13 | nfv 1528 |
. . . . . 6
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14 | sbequ 1840 |
. . . . . . . 8
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15 | cbviota.3 |
. . . . . . . . 9
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16 | cbviota.1 |
. . . . . . . . 9
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17 | 15, 16 | sbie 1791 |
. . . . . . . 8
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18 | 14, 17 | bitrdi 196 |
. . . . . . 7
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19 | equequ1 1712 |
. . . . . . 7
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20 | 18, 19 | bibi12d 235 |
. . . . . 6
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21 | 12, 13, 20 | cbval 1754 |
. . . . 5
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22 | 8, 21 | bitri 184 |
. . . 4
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23 | 22 | abbii 2293 |
. . 3
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24 | 23 | unieqi 3817 |
. 2
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25 | dfiota2 5174 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
26 | dfiota2 5174 |
. 2
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27 | 24, 25, 26 | 3eqtr4i 2208 |
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 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 5173 |
This theorem is referenced by: cbviotav 5179 cbvriota 5834 |
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