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Mirrors > Home > MPE Home > Th. List > disamis | Structured version Visualization version Unicode version |
Description: "Disamis", one of the syllogisms of Aristotelian logic. Some is , and all is , therefore some is . (In Aristotelian notation, IAI-3: MiP and MaS therefore SiP.) (Contributed by David A. Wheeler, 28-Aug-2016.) |
Ref | Expression |
---|---|
disamis.maj | |
disamis.min |
Ref | Expression |
---|---|
disamis |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | disamis.maj | . 2 | |
2 | disamis.min | . . . 4 | |
3 | 2 | spi 2054 | . . 3 |
4 | 3 | anim1i 592 | . 2 |
5 | 1, 4 | eximii 1764 | 1 |
Colors of variables: wff setvar class |
Syntax hints: 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: bocardo 2578 |
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