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Mirrors > Home > MPE Home > Th. List > bocardo | Structured version Visualization version Unicode version |
Description: "Bocardo", one of the syllogisms of Aristotelian logic. Some is not , and all is , therefore some is not . (In Aristotelian notation, OAO-3: MoP and MaS therefore SoP.) For example, "Some cats have no tails", "All cats are mammals", therefore "Some mammals have no tails". A reorder of disamis 2576; prefer using that instead. (Contributed by David A. Wheeler, 28-Aug-2016.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bocardo.maj | |
bocardo.min |
Ref | Expression |
---|---|
bocardo |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bocardo.maj | . 2 | |
2 | bocardo.min | . 2 | |
3 | 1, 2 | disamis 2576 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wa 384 wal 1481 wex 1704 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 |
This theorem is referenced by: (None) |
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