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Mirrors > Home > ILE Home > Th. List > 3anidm12 | Unicode version |
Description: Inference from idempotent law for conjunction. (Contributed by NM, 7-Mar-2008.) |
Ref | Expression |
---|---|
3anidm12.1 |
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Ref | Expression |
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3anidm12 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anidm12.1 |
. . 3
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2 | 1 | 3expib 1149 |
. 2
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3 | 2 | anabsi5 547 |
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 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 929 |
This theorem is referenced by: 3anidm13 1239 syl2an3an 1241 prarloclemarch2 7075 nq02m 7121 recexprlem1ssl 7289 recexprlem1ssu 7290 nncan 7808 dividap 8265 modqid0 9906 subsq 10192 retanclap 11178 tannegap 11184 gcd0id 11413 coprm 11566 |
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