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Mirrors > Home > ILE Home > Th. List > vtoclg1f | Unicode version |
Description: Version of vtoclgf 2795 with one nonfreeness hypothesis replaced with a disjoint variable condition, thus avoiding dependency on ax-11 1506 and ax-13 2150. (Contributed by BJ, 1-May-2019.) |
Ref | Expression |
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vtoclg1f.nf |
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vtoclg1f.maj |
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vtoclg1f.min |
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Ref | Expression |
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vtoclg1f |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 2748 |
. 2
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2 | isset 2743 |
. . 3
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3 | vtoclg1f.nf |
. . . 4
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4 | vtoclg1f.min |
. . . . 5
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5 | vtoclg1f.maj |
. . . . 5
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6 | 4, 5 | mpbii 148 |
. . . 4
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7 | 3, 6 | exlimi 1594 |
. . 3
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8 | 2, 7 | sylbi 121 |
. 2
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9 | 1, 8 | syl 14 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-v 2739 |
This theorem is referenced by: opeliunxp2f 6238 summodclem2a 11384 fprodsplit1f 11637 |
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