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Mirrors > Home > ILE Home > Th. List > 3adantl1 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 24-Feb-2005.) |
Ref | Expression |
---|---|
3adantl.1 |
Ref | Expression |
---|---|
3adantl1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simpc 937 | . 2 | |
2 | 3adantl.1 | . 2 | |
3 | 1, 2 | sylan 277 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-3an 921 |
This theorem is referenced by: 3ad2antl2 1101 3ad2antl3 1102 distrlem1prl 6772 distrlem1pru 6773 divmuldivap 7800 modqaddmulmod 9393 expnlbnd 9597 lcmledvds 10452 |
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