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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 1185 |
. 2
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3 | 2 | anabsi5 569 |
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 |
This theorem depends on definitions: df-bi 116 df-3an 965 |
This theorem is referenced by: 3anidm13 1275 syl2an3an 1277 prarloclemarch2 7251 nq02m 7297 recexprlem1ssl 7465 recexprlem1ssu 7466 nncan 8015 dividap 8485 modqid0 10154 subsq 10430 retanclap 11465 tannegap 11471 gcd0id 11703 coprm 11858 |
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