-- Disable this warning because we are re-exporting things. {-# OPTIONS_GHC -Wno-missing-import-lists #-} -- This file contains code from the parameterized-utils package: -- -- Copyright (c) 2013-2022 Galois Inc. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without -- modification, are permitted provided that the following conditions -- are met: -- -- * Redistributions of source code must retain the above copyright -- notice, this list of conditions and the following disclaimer. -- -- * Redistributions in binary form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in -- the documentation and/or other materials provided with the -- distribution. -- -- * Neither the name of Galois, Inc. nor the names of its contributors -- may be used to endorse or promote products derived from this -- software without specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS -- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED -- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A -- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER -- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF -- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING -- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS -- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -- | -- Module : Grisette.Utils -- Copyright : (c) Sirui Lu 2021-2023 -- License : BSD-3-Clause (see the LICENSE file) -- -- Maintainer : siruilu@cs.washington.edu -- Stability : Experimental -- Portability : GHC only module Grisette.Utils ( -- * Utilities for type-level natural numbers. -- ** Unsafe axiom unsafeAxiom, -- ** Runtime representation of type-level natural numbers NatRepr, natValue, natRepr, decNat, predNat, incNat, addNat, subNat, divNat, halfNat, -- ** Proof of KnownNat KnownProof (..), hasRepr, withKnownProof, unsafeKnownProof, knownAdd, -- ** Proof of (<=) for type-level natural numbers LeqProof (..), withLeqProof, unsafeLeqProof, testLeq, leqRefl, leqSucc, leqTrans, leqZero, leqAdd2, leqAdd, leqAddPos, ) where import Grisette.Internal.Utils.Parameterized ( KnownProof (..), LeqProof (..), NatRepr, addNat, decNat, divNat, halfNat, hasRepr, incNat, knownAdd, leqAdd, leqAdd2, leqAddPos, leqRefl, leqSucc, leqTrans, leqZero, natRepr, natValue, predNat, subNat, testLeq, unsafeAxiom, unsafeKnownProof, unsafeLeqProof, withKnownProof, withLeqProof, )