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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 1207 |
. 2
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3 | 2 | anabsi5 579 |
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 |
This theorem depends on definitions: df-bi 117 df-3an 981 |
This theorem is referenced by: 3anidm13 1306 syl2an3an 1308 prarloclemarch2 7431 nq02m 7477 recexprlem1ssl 7645 recexprlem1ssu 7646 nncan 8199 dividap 8671 modqid0 10363 sqdividap 10598 subsq 10640 retanclap 11743 tannegap 11749 gcd0id 11993 coprm 12157 |
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