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Mirrors > Home > ILE Home > Th. List > abbi1dv | Unicode version |
Description: Deduction from a wff to a class abstraction. (Contributed by NM, 9-Jul-1994.) |
Ref | Expression |
---|---|
abbildv.1 |
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Ref | Expression |
---|---|
abbi1dv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abbildv.1 |
. . 3
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2 | 1 | alrimiv 1751 |
. 2
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3 | abeq1 2144 |
. 2
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4 | 2, 3 | sylibr 137 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-11 1394 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-nf 1347 df-sb 1643 df-clab 2024 df-cleq 2030 df-clel 2033 |
This theorem is referenced by: abidnf 2703 csbtt 2856 csbvarg 2871 csbie2g 2890 abvor0dc 3236 iinxsng 3721 |
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