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Mirrors > Home > ILE Home > Th. List > orel2 | Unicode version |
Description: Elimination of disjunction by denial of a disjunct. Theorem *2.56 of [WhiteheadRussell] p. 107. (Contributed by NM, 12-Aug-1994.) (Proof shortened by Wolf Lammen, 5-Apr-2013.) |
Ref | Expression |
---|---|
orel2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | idd 21 |
. 2
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2 | pm2.21 607 |
. 2
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3 | 1, 2 | jaod 707 |
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 ax-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: biorfi 736 pm2.64 791 stdcn 833 pm5.71dc 946 ecased 1328 19.30dc 1607 dveeq2 1788 prel12 3706 funun 5175 |
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