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Mirrors > Home > ILE Home > Th. List > adantrrr | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 26-Dec-2004.) (Proof shortened by Wolf Lammen, 4-Dec-2012.) |
Ref | Expression |
---|---|
adantr2.1 |
Ref | Expression |
---|---|
adantrrr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl 107 | . 2 | |
2 | adantr2.1 | . 2 | |
3 | 1, 2 | sylanr2 397 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 |
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 is referenced by: 2ndconst 5863 genpdisj 6713 ltexprlemdisj 6796 addsrmo 6920 mulsrmo 6921 lemul12b 7939 |
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