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Mirrors > Home > MPE Home > Th. List > rexxfrd2 | Structured version Visualization version Unicode version |
Description: Transfer existence from a variable to another variable contained in expression . Variant of rexxfrd 4881. (Contributed by Alexander van der Vekens, 25-Apr-2018.) |
Ref | Expression |
---|---|
ralxfrd2.1 | |
ralxfrd2.2 | |
ralxfrd2.3 |
Ref | Expression |
---|---|
rexxfrd2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralxfrd2.1 | . . . 4 | |
2 | ralxfrd2.2 | . . . 4 | |
3 | ralxfrd2.3 | . . . . 5 | |
4 | 3 | notbid 308 | . . . 4 |
5 | 1, 2, 4 | ralxfrd2 4884 | . . 3 |
6 | 5 | notbid 308 | . 2 |
7 | dfrex2 2996 | . 2 | |
8 | dfrex2 2996 | . 2 | |
9 | 6, 7, 8 | 3bitr4g 303 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wa 384 w3a 1037 wceq 1483 wcel 1990 wral 2912 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-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ral 2917 df-rex 2918 df-v 3202 |
This theorem is referenced by: cshimadifsn 13575 cshimadifsn0 13576 ntrclsneine0lem 38362 |
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