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Mirrors > Home > ILE Home > Th. List > chvarfv | Unicode version |
Description: Implicit substitution of for into a theorem. Version of chvar 1737 with a disjoint variable condition. (Contributed by Raph Levien, 9-Jul-2003.) (Revised by BJ, 31-May-2019.) |
Ref | Expression |
---|---|
chvarfv.nf | |
chvarfv.1 | |
chvarfv.2 |
Ref | Expression |
---|---|
chvarfv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chvarfv.nf | . . 3 | |
2 | chvarfv.1 | . . . 4 | |
3 | 2 | biimpd 143 | . . 3 |
4 | 1, 3 | spimfv 1679 | . 2 |
5 | chvarfv.2 | . 2 | |
6 | 4, 5 | mpg 1431 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wnf 1440 |
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-5 1427 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-4 1490 ax-i9 1510 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1441 |
This theorem is referenced by: fproddivapf 11521 fprodsplitf 11522 |
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