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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.53 722 |
. 2
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2 | 1 | com12 30 |
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 106 ax-ia2 107 ax-ia3 108 ax-in2 615 ax-io 709 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: biorf 744 pm2.25dc 893 pm2.85dc 905 euor2 2084 prel12 3771 funun 5260 acexmidlema 5865 acexmidlemb 5866 sup3exmid 8913 pythagtriplem4 12267 |
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