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Mirrors > Home > ILE Home > Th. List > 3adant3r3 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 18-Feb-2008.) |
Ref | Expression |
---|---|
3exp.1 |
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Ref | Expression |
---|---|
3adant3r3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3exp.1 |
. . 3
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2 | 1 | 3expb 1206 |
. 2
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3 | 2 | 3adantr3 1160 |
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 106 ax-ia2 107 ax-ia3 108 |
This theorem depends on definitions: df-bi 117 df-3an 982 |
This theorem is referenced by: grpaddsubass 13049 grpsubsub4 13052 grpnpncan 13054 imasgrp2 13067 imasgrp 13068 cmn12 13262 abladdsub 13271 imasrng 13327 imasring 13431 opprrng 13444 opprring 13446 dvrass 13506 lss1 13695 mettri2 14339 xmetrtri 14353 |
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