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Mirrors > Home > MPE Home > Th. List > 3anidm13 | Structured version Visualization version Unicode version |
Description: Inference from idempotent law for conjunction. (Contributed by NM, 7-Mar-2008.) |
Ref | Expression |
---|---|
3anidm13.1 |
Ref | Expression |
---|---|
3anidm13 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3anidm13.1 | . . 3 | |
2 | 1 | 3com23 1271 | . 2 |
3 | 2 | 3anidm12 1383 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 w3a 1037 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-an 386 df-3an 1039 |
This theorem is referenced by: npncan2 10308 ltsubpos 10520 leaddle0 10543 subge02 10544 halfaddsub 11265 avglt1 11270 hashssdif 13200 pythagtriplem4 15524 pythagtriplem14 15533 lsmss2 18081 grpoidinvlem2 27359 hvpncan3 27899 bcm1n 29554 3anidm12p1 39033 3impcombi 39044 |
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