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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 103 | . . 3 | |
3 | datisi.maj | . . . . 5 | |
4 | 3 | spi 1429 | . . . 4 |
5 | 4 | adantr 261 | . . 3 |
6 | 2, 5 | jca 290 | . 2 |
7 | 1, 6 | eximii 1493 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: ferison 2012 |
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