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Mirrors > Home > ILE Home > Th. List > 3adantr3 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.) |
Ref | Expression |
---|---|
3adantr.1 |
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Ref | Expression |
---|---|
3adantr3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simpa 994 |
. 2
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2 | 3adantr.1 |
. 2
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3 | 1, 2 | sylan2 286 |
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 980 |
This theorem is referenced by: 3ad2antr1 1162 3ad2antr2 1163 3adant3r3 1214 isosolem 5824 caovlem2d 6066 tanaddap 11742 mhmmnd 12934 isxmet2d 13741 xmetres2 13772 comet 13892 xmetxp 13900 |
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