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Mirrors > Home > ILE Home > Th. List > 3adantl3 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.) |
Ref | Expression |
---|---|
3adantl.1 |
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Ref | Expression |
---|---|
3adantl3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simpa 994 |
. 2
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2 | 3adantl.1 |
. 2
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3 | 1, 2 | sylan 283 |
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: ltsopr 7592 lediv2a 8848 muldvds1 11816 muldvds2 11817 dvdscmul 11818 dvdsmulc 11819 rpexp 12145 iscnp4 13589 cnpnei 13590 xblm 13788 |
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