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(* Title: LatInsts.thy
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ID: $Id$
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Author: Markus Wenzel, TU Muenchen
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Some lattice instantiations.
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*)
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LatInsts = LatPreInsts +
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(* linear orders are lattices *)
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instance
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lin_order < lattice (allI, exI, min_is_inf, max_is_sup)
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(* complete lattices are lattices *)
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instance
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clattice < lattice (allI, exI, Inf_is_inf, Sup_is_sup)
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(* products of lattices are lattices *)
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instance
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"*" :: (lattice, lattice) lattice (allI, exI, prod_is_inf, prod_is_sup)
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instance
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fun :: (term, lattice) lattice (allI, exI, fun_is_inf, fun_is_sup)
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(* duals of lattices are lattices *)
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instance
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dual :: (lattice) lattice (allI, exI, dual_is_inf, dual_is_sup)
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(*FIXME bug workaround (see also OrdInsts.thy)*)
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instance
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dual :: (lin_order) lin_order (le_dual_lin)
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end
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