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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 | |
cbviota.2 | |
cbviota.3 |
Ref | Expression |
---|---|
cbviota |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1421 | . . . . . 6 | |
2 | nfs1v 1815 | . . . . . . 7 | |
3 | nfv 1421 | . . . . . . 7 | |
4 | 2, 3 | nfbi 1481 | . . . . . 6 |
5 | sbequ12 1654 | . . . . . . 7 | |
6 | equequ1 1598 | . . . . . . 7 | |
7 | 5, 6 | bibi12d 224 | . . . . . 6 |
8 | 1, 4, 7 | cbval 1637 | . . . . 5 |
9 | cbviota.2 | . . . . . . . 8 | |
10 | 9 | nfsb 1822 | . . . . . . 7 |
11 | nfv 1421 | . . . . . . 7 | |
12 | 10, 11 | nfbi 1481 | . . . . . 6 |
13 | nfv 1421 | . . . . . 6 | |
14 | sbequ 1721 | . . . . . . . 8 | |
15 | cbviota.3 | . . . . . . . . 9 | |
16 | cbviota.1 | . . . . . . . . 9 | |
17 | 15, 16 | sbie 1674 | . . . . . . . 8 |
18 | 14, 17 | syl6bb 185 | . . . . . . 7 |
19 | equequ1 1598 | . . . . . . 7 | |
20 | 18, 19 | bibi12d 224 | . . . . . 6 |
21 | 12, 13, 20 | cbval 1637 | . . . . 5 |
22 | 8, 21 | bitri 173 | . . . 4 |
23 | 22 | abbii 2153 | . . 3 |
24 | 23 | unieqi 3590 | . 2 |
25 | dfiota2 4868 | . 2 | |
26 | dfiota2 4868 | . 2 | |
27 | 24, 25, 26 | 3eqtr4i 2070 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wal 1241 wceq 1243 wnf 1349 wsb 1645 cab 2026 cuni 3580 cio 4865 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rex 2312 df-sn 3381 df-uni 3581 df-iota 4867 |
This theorem is referenced by: cbviotav 4873 cbvriota 5478 |
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