Praeclarum theorema

Translingual

Etymology

So named by Template:W in his unpublished papers of 1690 (later published as Leibniz: Logical Papers in 1966), meaning "splendid theorem" in Latin.

Noun

1. Template:Lb The following theorem of propositional calculus: (A → B) ∧ (C → D) → (A ∧ C → B ∧ D).

   The praeclarum theorema can be seen to correspond with the rule $R\otimes$ of linear logic; given two sequents $A⊢B$ and $C⊢D$ one may infer (through the said rule) that $A,C⊢B\otimes D$. Then one may further infer, through the rule $L\otimes$, that $A\otimes C⊢B\otimes D$.

See also

• Template:L