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Mirrors > Home > ILE Home > Th. List > vtoclg1f | Unicode version |
Description: Version of vtoclgf 2779 with one nonfreeness hypothesis replaced with a disjoint variable condition, thus avoiding dependency on ax-11 1493 and ax-13 2137. (Contributed by BJ, 1-May-2019.) |
Ref | Expression |
---|---|
vtoclg1f.nf | |
vtoclg1f.maj | |
vtoclg1f.min |
Ref | Expression |
---|---|
vtoclg1f |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 2732 | . 2 | |
2 | isset 2727 | . . 3 | |
3 | vtoclg1f.nf | . . . 4 | |
4 | vtoclg1f.min | . . . . 5 | |
5 | vtoclg1f.maj | . . . . 5 | |
6 | 4, 5 | mpbii 147 | . . . 4 |
7 | 3, 6 | exlimi 1581 | . . 3 |
8 | 2, 7 | sylbi 120 | . 2 |
9 | 1, 8 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1342 wnf 1447 wex 1479 wcel 2135 cvv 2721 |
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 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-v 2723 |
This theorem is referenced by: opeliunxp2f 6197 summodclem2a 11308 fprodsplit1f 11561 |
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