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Mirrors > Home > ILE Home > Th. List > orel1 | Unicode version |
Description: Elimination of disjunction by denial of a disjunct. Theorem *2.55 of [WhiteheadRussell] p. 107. (Contributed by NM, 12-Aug-1994.) (Proof shortened by Wolf Lammen, 21-Jul-2012.) |
Ref | Expression |
---|---|
orel1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.53 712 | . 2 | |
2 | 1 | com12 30 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wo 698 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: biorf 734 pm2.25dc 879 pm2.85dc 891 euor2 2064 prel12 3734 funun 5214 acexmidlema 5815 acexmidlemb 5816 sup3exmid 8828 |
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