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Mirrors > Home > ILE Home > Th. List > breqi | Unicode version |
Description: Equality inference for binary relations. (Contributed by NM, 19-Feb-2005.) |
Ref | Expression |
---|---|
breqi.1 |
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Ref | Expression |
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breqi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | breqi.1 |
. 2
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2 | breq 4005 |
. 2
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3 | 1, 2 | ax-mp 5 |
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-4 1510 ax-17 1526 ax-ial 1534 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-cleq 2170 df-clel 2173 df-br 4004 |
This theorem is referenced by: f1ompt 5667 brtpos2 6251 tfrexlem 6334 brdifun 6561 ltpiord 7317 ltxrlt 8021 ltxr 9773 xmeterval 13828 |
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