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Mirrors > Home > ILE Home > Th. List > syld3an2 | Unicode version |
Description: A syllogism inference. (Contributed by NM, 20-May-2007.) |
Ref | Expression |
---|---|
syld3an2.1 |
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syld3an2.2 |
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Ref | Expression |
---|---|
syld3an2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syld3an2.1 |
. . . 4
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2 | 1 | 3com23 1188 |
. . 3
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3 | syld3an2.2 |
. . . 4
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4 | 3 | 3com23 1188 |
. . 3
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5 | 2, 4 | syld3an3 1262 |
. 2
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6 | 5 | 3com23 1188 |
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: nppcan2 8017 nnncan 8021 nnncan2 8023 ltdivmul 8658 ledivmul 8659 ltdiv23 8674 lediv23 8675 dvdssub2 11571 dvdsgcdb 11737 lcmdvdsb 11801 rpdivcxp 13040 |
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