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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > 3ornot23 | Structured version Unicode version |
Description: If the second and third disjuncts of a true triple disjunction are false, then the first disjunct is true. Automatically derived from 3ornot23VD 31896. (Contributed by Alan Sare, 31-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
3ornot23 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | idd 24 |
. . 3
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2 | pm2.21 108 |
. . 3
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3 | pm2.21 108 |
. . 3
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4 | 1, 2, 3 | 3jaao 1287 |
. 2
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5 | 4 | 3anidm12 1276 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 185 df-or 370 df-an 371 df-3or 966 df-3an 967 |
This theorem is referenced by: tratrb 31555 tratrbVD 31910 |
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