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Mirrors > Home > ILE Home > Th. List > celarent | Unicode version |
Description: "Celarent", one of the syllogisms of Aristotelian logic. No is , and all is , therefore no is . (In Aristotelian notation, EAE-1: MeP and SaM therefore SeP.) For example, given the "No reptiles have fur" and "All snakes are reptiles", therefore "No snakes have fur". Example from https://en.wikipedia.org/wiki/Syllogism. (Contributed by David A. Wheeler, 24-Aug-2016.) (Revised by David A. Wheeler, 2-Sep-2016.) |
Ref | Expression |
---|---|
celarent.maj | |
celarent.min |
Ref | Expression |
---|---|
celarent |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | celarent.maj | . 2 | |
2 | celarent.min | . 2 | |
3 | 1, 2 | barbara 1998 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1241 |
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 |
This theorem is referenced by: (None) |
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