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Mirrors > Home > ILE Home > Th. List > cbvrexsv | Unicode version |
Description: Change bound variable by using a substitution. (Contributed by NM, 2-Mar-2008.) (Revised by Andrew Salmon, 11-Jul-2011.) |
Ref | Expression |
---|---|
cbvrexsv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1508 | . . 3 | |
2 | nfs1v 1919 | . . 3 | |
3 | sbequ12 1751 | . . 3 | |
4 | 1, 2, 3 | cbvrex 2677 | . 2 |
5 | nfv 1508 | . . . 4 | |
6 | 5 | nfsb 1926 | . . 3 |
7 | nfv 1508 | . . 3 | |
8 | sbequ 1820 | . . 3 | |
9 | 6, 7, 8 | cbvrex 2677 | . 2 |
10 | 4, 9 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wsb 1742 wrex 2436 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 df-cleq 2150 df-clel 2153 df-nfc 2288 df-rex 2441 |
This theorem is referenced by: rspesbca 3021 rexxpf 4732 |
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