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Definition 2025
praeclarum_theorema
praeclarum theorema
Translingual
Noun
- (logic) The following theorem of propositional calculus: (A → B) ∧ (C → D) → (A ∧ C → B ∧ D). [1][2][3][4]
- The praeclarum theorema can be seen to correspond with the rule of linear logic; given two sequents and one may infer (through the said rule) that . Then one may further infer, through the rule , that .
See also
- constructive dilemma
References
- ↑ http://planetmath.org/encyclopedia/PraeclarumTheorema.html
- ↑ http://www.proofwiki.org/wiki/Praeclarum_Theorema
- ↑ http://mally.stanford.edu/cm/leibniz/ (Proposition 10)
- ↑ Theorem prth698 at Metamath Proof Explorer