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Mirrors > Home > MPE Home > Th. List > cbv2h | Structured version Visualization version Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 11-May-1993.) |
Ref | Expression |
---|---|
cbv2h.1 | |
cbv2h.2 | |
cbv2h.3 |
Ref | Expression |
---|---|
cbv2h |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbv2h.1 | . . 3 | |
2 | cbv2h.2 | . . 3 | |
3 | cbv2h.3 | . . . 4 | |
4 | biimp 205 | . . . 4 | |
5 | 3, 4 | syl6 35 | . . 3 |
6 | 1, 2, 5 | cbv1h 2268 | . 2 |
7 | equcomi 1944 | . . . . 5 | |
8 | biimpr 210 | . . . . 5 | |
9 | 7, 3, 8 | syl56 36 | . . . 4 |
10 | 2, 1, 9 | cbv1h 2268 | . . 3 |
11 | 10 | alcoms 2035 | . 2 |
12 | 6, 11 | impbid 202 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wal 1481 |
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-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 |
This theorem is referenced by: cbv2 2270 eujustALT 2473 |
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