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Mirrors > Home > ILE Home > Th. List > 3adantr1 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 27-Apr-2005.) |
Ref | Expression |
---|---|
3adantr.1 |
Ref | Expression |
---|---|
3adantr1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simpc 965 | . 2 | |
2 | 3adantr.1 | . 2 | |
3 | 1, 2 | sylan2 284 | 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: 3ad2antr3 1133 3adant3r1 1175 swopo 4198 isosolem 5693 caovlem2d 5931 divmuldivap 8440 |
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