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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 965 | . 2 | |
2 | 3adantl.1 | . 2 | |
3 | 1, 2 | sylan 281 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 947 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 949 |
This theorem is referenced by: 3ad2antl2 1129 3ad2antl3 1130 distrlem1prl 7358 distrlem1pru 7359 divmuldivap 8440 modqaddmulmod 10132 expnlbnd 10384 lcmledvds 11678 ctinf 11870 upxp 12368 |
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