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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 |
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Ref | Expression |
---|---|
adantrrr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpl 108 |
. 2
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2 | adantr2.1 |
. 2
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3 | 1, 2 | sylanr2 403 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
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 is referenced by: 2ndconst 6127 genpdisj 7355 ltexprlemdisj 7438 addsrmo 7575 mulsrmo 7576 axpre-suploclemres 7733 lemul12b 8643 tgcl 12272 neissex 12373 |
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