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Mirrors > Home > MPE Home > Th. List > syld3an1 | Structured version Visualization version Unicode version |
Description: A syllogism inference. (Contributed by NM, 7-Jul-2008.) |
Ref | Expression |
---|---|
syld3an1.1 | |
syld3an1.2 |
Ref | Expression |
---|---|
syld3an1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syld3an1.1 | . . . 4 | |
2 | 1 | 3com13 1270 | . . 3 |
3 | syld3an1.2 | . . . 4 | |
4 | 3 | 3com13 1270 | . . 3 |
5 | 2, 4 | syld3an3 1371 | . 2 |
6 | 5 | 3com13 1270 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 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: npncan 10302 nnpcan 10304 ppncan 10323 muldivdir 10720 div2neg 10748 ltmuldiv 10896 opfi1uzind 13283 opfi1uzindOLD 13289 sgrp2nmndlem4 17415 zndvds 19898 subdivcomb1 31611 wsuceq123 31760 atlrelat1 34608 cvlatcvr1 34628 dih11 36554 mullimc 39848 mullimcf 39855 icccncfext 40100 stoweidlem34 40251 stoweidlem49 40266 stoweidlem57 40274 sigarexp 41048 el0ldepsnzr 42256 |
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