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Mirrors > Home > ILE Home > Th. List > datisi | Unicode version |
Description: "Datisi", one of the syllogisms of Aristotelian logic. All is , and some is , therefore some is . (In Aristotelian notation, AII-3: MaP and MiS therefore SiP.) (Contributed by David A. Wheeler, 28-Aug-2016.) |
Ref | Expression |
---|---|
datisi.maj | |
datisi.min |
Ref | Expression |
---|---|
datisi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | datisi.min | . 2 | |
2 | simpr 109 | . . 3 | |
3 | datisi.maj | . . . . 5 | |
4 | 3 | spi 1529 | . . . 4 |
5 | 4 | adantr 274 | . . 3 |
6 | 2, 5 | jca 304 | . 2 |
7 | 1, 6 | eximii 1595 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1346 wex 1485 |
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-5 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: ferison 2131 |
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