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Mirrors > Home > ILE Home > Th. List > darii | Unicode version |
Description: "Darii", one of the syllogisms of Aristotelian logic. All is , and some is , therefore some is . (In Aristotelian notation, AII-1: MaP and SiM therefore SiP.) For example, given "All rabbits have fur" and "Some pets are rabbits", therefore "Some pets have fur". Example from https://en.wikipedia.org/wiki/Syllogism. (Contributed by David A. Wheeler, 24-Aug-2016.) |
Ref | Expression |
---|---|
darii.maj | |
darii.min |
Ref | Expression |
---|---|
darii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | darii.min | . 2 | |
2 | darii.maj | . . . 4 | |
3 | 2 | spi 1429 | . . 3 |
4 | 3 | anim2i 324 | . 2 |
5 | 1, 4 | 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: ferio 2001 |
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