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src/Sequents/LK.thy

changeset 7117 | 37eccadf6b8a |

parent 7094 | 6f18ae72a90e |

child 17481 | 75166ebb619b |

--- a/src/Sequents/LK.thy Wed Jul 28 13:42:20 1999 +0200 +++ b/src/Sequents/LK.thy Wed Jul 28 13:45:33 1999 +0200 @@ -6,6 +6,9 @@ Axiom to express monotonicity (a variant of the deduction theorem). Makes the link between |- and ==>, needed for instance to prove imp_cong. +Axiom left_cong allows the simplifier to use left-side formulas. Ideally it +should be derived from lower-level axioms. + CANNOT be added to LK0.thy because modal logic is built upon it, and various modal rules would become inconsistent. *) @@ -16,4 +19,6 @@ monotonic "($H |- P ==> $H |- Q) ==> $H, P |- Q" + left_cong "[| P == P'; |- P' ==> ($H |- $F) == ($H' |- $F') |] + ==> (P, $H |- $F) == (P', $H' |- $F')" end