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Mirrors > Home > ILE Home > Th. List > 3adant3r1 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 16-Feb-2008.) |
Ref | Expression |
---|---|
3exp.1 |
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Ref | Expression |
---|---|
3adant3r1 |
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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 | 3adantr1 1158 |
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: grpsubsub 12999 grpnnncan2 13007 imasgrp2 13018 mulgnn0ass 13064 mulgsubdir 13068 cmn32 13204 ablsubadd 13212 imasrng 13271 imasring 13375 opprrng 13388 opprring 13390 xmettri3 14271 mettri3 14272 xmetrtri 14273 rprelogbmulexp 14771 |
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