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Mirrors > Home > ILE Home > Th. List > 3adant3r1 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 16-Feb-2008.) |
Ref | Expression |
---|---|
3exp.1 |
Ref | Expression |
---|---|
3adant3r1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3exp.1 | . . 3 | |
2 | 1 | 3expb 1186 | . 2 |
3 | 2 | 3adantr1 1141 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 963 |
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 965 |
This theorem is referenced by: xmettri3 12844 mettri3 12845 xmetrtri 12846 rprelogbmulexp 13344 |
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