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Mirrors > Home > ILE Home > Th. List > 3anidm13 | Unicode version |
Description: Inference from idempotent law for conjunction. (Contributed by NM, 7-Mar-2008.) |
Ref | Expression |
---|---|
3anidm13.1 |
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Ref | Expression |
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3anidm13 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anidm13.1 |
. . 3
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2 | 1 | 3com23 1188 |
. 2
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3 | 2 | 3anidm12 1274 |
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: ltnsym 7874 npncan2 8013 ltsubpos 8240 leaddle0 8263 subge02 8264 halfaddsub 8978 avglt1 8982 rplogbid1 13072 |
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