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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 |
Ref | Expression |
---|---|
3adantr3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simpa 935 | . 2 | |
2 | 3adantr.1 | . 2 | |
3 | 1, 2 | sylan2 280 | 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: 3ad2antr1 1103 3ad2antr2 1104 3adant3r3 1149 isosolem 5483 caovlem2d 5713 |
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