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Mirrors > Home > MPE Home > Th. List > cbvrexsv | Structured version Visualization version 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 1843 | . . 3 | |
2 | nfs1v 2437 | . . 3 | |
3 | sbequ12 2111 | . . 3 | |
4 | 1, 2, 3 | cbvrex 3168 | . 2 |
5 | nfv 1843 | . . . 4 | |
6 | 5 | nfsb 2440 | . . 3 |
7 | nfv 1843 | . . 3 | |
8 | sbequ 2376 | . . 3 | |
9 | 6, 7, 8 | cbvrex 3168 | . 2 |
10 | 4, 9 | bitri 264 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 196 wsb 1880 wrex 2913 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ral 2917 df-rex 2918 |
This theorem is referenced by: rspesbca 3520 ac6sf 9311 ac6gf 33527 cbvexsv 38762 |
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