(* Title: Normalisation method for locale cring Id: $Id: ringsimp.ML,v 1.10 2005/06/25 14:06:17 nipkow Exp $ Author: Clemens Ballarin Copyright: TU Muenchen *) (*** Term order for commutative rings ***) fun ring_ord a = find_index_eq a ["CRing.ring.zero", "CRing.ring.add", "CRing.a_inv", "CRing.minus", "Group.monoid.one", "Group.monoid.mult"]; fun termless_ring (a, b) = (Term.term_lpo ring_ord (a, b) = LESS); val cring_ss = HOL_ss settermless termless_ring; fun cring_normalise ctxt = let fun ring_filter t = (case HOLogic.dest_Trueprop t of Const ("CRing.ring_axioms", _) $ Free (s, _) => [s] | _ => []) handle TERM _ => []; fun comm_filter t = (case HOLogic.dest_Trueprop t of Const ("Group.comm_monoid_axioms", _) $ Free (s, _) => [s] | _ => []) handle TERM _ => []; val prems = ProofContext.prems_of ctxt; val rings = List.concat (map (ring_filter o #prop o rep_thm) prems); val comms = List.concat (map (comm_filter o #prop o rep_thm) prems); val non_comm_rings = rings \\ comms; val comm_rings = rings inter_string comms; val _ = tracing ("Non-commutative rings in proof context: " ^ commas non_comm_rings ^ "\nCommutative rings in proof context: " ^ commas comm_rings); val simps = List.concat (map (fn s => ProofContext.get_thms ctxt (Name (s ^ ".ring_simprules"))) non_comm_rings) @ List.concat (map (fn s => ProofContext.get_thms ctxt (Name (s ^ ".cring_simprules"))) comm_rings); in Method.SIMPLE_METHOD' HEADGOAL (asm_full_simp_tac (cring_ss addsimps simps)) end; (* val ring_ss = HOL_basic_ss settermless termless_ring addsimps [a_assoc, l_zero, l_neg, a_comm, m_assoc, l_one, l_distr, m_comm, minus_def, r_zero, r_neg, r_neg2, r_neg1, minus_add, minus_minus, minus0, a_lcomm, m_lcomm, (*r_one,*) r_distr, l_null, r_null, l_minus, r_minus]; *)