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src/Sequents/LK.thy

author | paulson |

Wed, 28 Jul 1999 13:45:33 +0200 | |

changeset 7117 | 37eccadf6b8a |

parent 7094 | 6f18ae72a90e |

child 17481 | 75166ebb619b |

permissions | -rw-r--r-- |

congruence rule for |-

(* Title: LK/LK ID: $Id$ Author: Lawrence C Paulson, Cambridge University Computer Laboratory Copyright 1993 University of Cambridge 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. *) LK = LK0 + rules monotonic "($H |- P ==> $H |- Q) ==> $H, P |- Q" left_cong "[| P == P'; |- P' ==> ($H |- $F) == ($H' |- $F') |] ==> (P, $H |- $F) == (P', $H' |- $F')" end