insert std/L.mli theory K. include theory L. formal system. formula A, B, C term t metaobject x. [* Axioms 1-3 of Mendelson, p.57, are here included from theory L where they are named L1, L2, L3. Modus ponens (MP) is likewise included from theory L. Mendelson axioms 4 (resp. 5) are here called K1 (resp. K2). *] -- Treated as axioms in Mendelson: rule K1. t free for x in A ⊢ (∀x A) ⇒ A[x.t]. rule K1a. ∀x A ⊢ A[x.t]. rule K2. x not free in A ⊢ (∀x: A ⇒ B) ⇒ (A ⇒ ∀x B). rule Gen. A ⊢ ∀x A. -- Generalization. end formal system. end theory K.