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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 1184 | . 2 |
3 | 2 | anabsi5 568 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 962 |
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 964 |
This theorem is referenced by: 3anidm13 1274 syl2an3an 1276 prarloclemarch2 7227 nq02m 7273 recexprlem1ssl 7441 recexprlem1ssu 7442 nncan 7991 dividap 8461 modqid0 10123 subsq 10399 retanclap 11429 tannegap 11435 gcd0id 11667 coprm 11822 |
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