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Mirrors > Home > ILE Home > Th. List > eleq2w | Unicode version |
Description: Weaker version of eleq2 2204 (but more general than elequ2 1692) not depending on ax-ext 2122 nor df-cleq 2133. (Contributed by BJ, 29-Sep-2019.) |
Ref | Expression |
---|---|
eleq2w |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elequ2 1692 |
. . . 4
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2 | 1 | anbi2d 460 |
. . 3
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3 | 2 | exbidv 1798 |
. 2
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4 | df-clel 2136 |
. 2
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5 | df-clel 2136 |
. 2
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6 | 3, 4, 5 | 3bitr4g 222 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-4 1488 ax-14 1493 ax-17 1507 ax-i9 1511 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-clel 2136 |
This theorem is referenced by: (None) |
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