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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 |
Ref | Expression |
---|---|
3anidm12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anidm12.1 | . . 3 | |
2 | 1 | 3expib 1169 | . 2 |
3 | 2 | anabsi5 553 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 947 |
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 949 |
This theorem is referenced by: 3anidm13 1259 syl2an3an 1261 prarloclemarch2 7195 nq02m 7241 recexprlem1ssl 7409 recexprlem1ssu 7410 nncan 7959 dividap 8429 modqid0 10091 subsq 10367 retanclap 11356 tannegap 11362 gcd0id 11594 coprm 11749 |
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