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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.LawfulVecOperator import Init.Omega @[expose] public section /-! Thi...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.LawfulVecOperator import Init.Data.Nat.Order import Init.Data.Order.Le...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Add public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations....
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.If import Init.Omega @[expose] public section /-! This module contai...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Sat.AIG.RefVec @[expose] public section /-! This module contains the implementation of a bitblaster for `BitVec.getLsbD`. -/ namesp...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.LawfulVecOperator import Init.Omega @[expose] public section /-! Thi...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.LawfulVecOperator import Init.Omega @[expose] public section /-! Thi...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Carry public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Not @[ex...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Udiv @[expose] public section /-! This module contains the implementation of...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.If import Init.Omega @[expose] public section /-! This module contai...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Add public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations....
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.LawfulVecOperator import Init.Omega @[expose] public section /-! Thi...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.LawfulVecOperator import Init.Omega @[expose] public section /-! Thi...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Sat.AIG.RefVecOperator @[expose] public section /-! This module contains the implementation of a bitblaster for `BitVec` equality. -...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.RefVecOperator @[expose] public section /-! This module contains the...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Luisa Cicolini, Siddharth Bhat, Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Const public import Std.Sat.AIG.If import Init.Omega @[e...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Sub public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations....
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Basic public import Std.Sat.AIG.LawfulVecOperator import Init.Omega @[expose] public section /-! Thi...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Neg @[expose] public section /-! This module contains the implementation of ...
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/- Copyright (c) 2026 University of Cambridge. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Luisa Cicolini, Siddharth Bhat, Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Const public import Std.Tactic.BVDecide.Bitblas...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Reverse...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.ZeroExt...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Append ...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Const public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Neg pub...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Init.Data.BitVec.Bitblast public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblas...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.GetLsbD...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Init.Data.BitVec.Bitblast public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblas...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Extract...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Carry public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Not p...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Udiv import all Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations....
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Init.Data.BitVec.Bitblast public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblas...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Add public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operati...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.RotateR...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Replica...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Eq impo...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Not @[...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Luisa Cicolini, Siddharth Bhat, Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.Clz public import Std.Tactic.BVDecide.Bitblast...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Sub public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operati...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.RotateL...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Operations.Neg public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operation...
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/- Copyright (c) 2026 University of Cambridge. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Luisa Cicolini, Siddharth Bhat, Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Lemmas.Basic public import Std.Tactic.BVDecide.Bitbl...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Actions public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Class @[expose] public section namespa...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Class @[expose] public section namespace Std.Tactic.BVDecide namespace LRAT namespace...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Actions public import Std.Tactic.BVDecide.LRAT.Internal.Clause @[expose] public section namespace Std....
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Init.Data.Hashable @[expose] public section namespace Std.Tactic.BVDecide namespace LRAT namespace Internal def PosFin (n : Na...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune, Henrik Böving -/ module prelude public import Init.PropLemmas @[expose] public section namespace Std.Tactic.BVDecide namespace LRAT namespace Internal /-- Fo...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Data.HashMap public import Std.Sat.CNF.Basic public import Std.Tactic.BVDecide.LRAT.Internal.Assignment import Init.Data.List....
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Sat.CNF.RelabelFin public import Std.Tactic.BVDecide.LRAT.Internal.Formula import Init.Data.Array.Bootstrap @[expose] public section ...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Lemmas public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Class public import Std.Tactic.BV...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.LRATChecker public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Implementation public import Std.Tac...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Entails public import Std.Tactic.BVDecide.LRAT.Internal.PosFin public import Init.Grind @[expo...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.LRATChecker public import Std.Tactic.BVDecide.LRAT.Internal.CNF public import Std.Tactic.BVDeci...
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/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.CompactLRATChecker import Std.Tactic.BVDecide.LRAT.Internal.LRATCheckerSound namespace Std.Tactic.BVDec...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Clause @[expose] public section /-! This module contains the definition of the `Formula` type...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddResult import Init.ByCases import Init.Data.Array.Bootstrap import Init.Data.Int....
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rcases ih.1 rfl p with ih1 | ih1 · exact ih1 j j_lt_idx p_entails_c_arr_j · exact ih1 hp · grind next l => split at h next heq => split at h · grind next c_arr_idx_eq_false => simp only [Bool.not_eq_true] at c_arr_idx_eq_false simp ...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Implementation public import Std.Tactic.BVDecide.LRAT.Internal.CNF import Init.ByCases ...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddResult import Init.ByCases import Init.Data.Array.Range import Init.Data.Int.OfNa...
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exists_prop] at h pfc rcases h with ⟨c', c'_in_f, pc'⟩ have c'_in_fc : c' ∈ toList (insert f c) := by rw [insert_iff]; exact Or.inr c'_in_f exact pc' <| pfc c' c'_in_fc · intro fc_unsat p pf by_cases pc : p ⊨ c · specialize fc_unsat p simp only [(· ⊨ ·), Bool.decide_coe, List.all_eq_...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.RupAddSound import Init.ByCases import Init.Data.Int.OfNat import Init.Data.Nat.Linear ...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Lemmas public import Init.GrindInstances.ToInt import Init.ByCases import Init.Data.Arr...
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apply Nat.succ_lt_succ ∘ Nat.lt_of_le_of_ne j2_ge_idx intro idx_eq_j2 exact idx_ne_j2 (Fin.eq_of_val_eq idx_eq_j2) · constructor · simp only [Fin.getElem_fin] exact ih2 · constructor · simp only [clearUnit, idx_eq_j1, Array.getInternal_eq_getElem, ih1] ...
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rw [← j_eq_k1] at i_eq_k1 simp only [Fin.mk.injEq] at i_eq_k1 exact i_ne_j (Fin.eq_of_val_eq i_eq_k1) specialize h3 ⟨j.1, j_in_bounds⟩ j_ne_k1 j_ne_k2 simp [li, li_eq_lj, derivedLits_arr_def] at h3 next i_ne_k1 => specialize h3 ⟨i.1, i_in_bounds⟩ i_ne_k1 i_ne_k2 ...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.Class @[expose] public section /-! This module contains the default implementation of...
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/- Copyright Amazon.com, Inc. or its affiliates. All Rights Reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Josh Clune -/ module prelude public import Std.Tactic.BVDecide.LRAT.Internal.Formula.RatAddSound @[expose] public section /-! This module couples the default LRAT impleme...
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/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Std.Do.WP.Monad @[expose] public section set_option linter.missingDocs true /-! # Simp lemmas for working with weakest preconditions M...
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/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Std.Do.WP.Basic import all Std.Do.WP.Basic @[expose] public section set_option linter.missingDocs true /-! # Monad morphisms and weakes...
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/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Std.Do.PredTrans @[expose] public section set_option linter.missingDocs true /-! # Weakest precondition interpretation This module def...
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/- Copyright (c) 2022 Lars König. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Lars König, Mario Carneiro, Sebastian Graf -/ module prelude public import Std.Do.SPred.Notation @[expose] public section set_option linter.missingDocs true namespace Std.Do.SPred /-!...
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/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Init.Data.List.Notation import Init.SimpLemmas public import Init.Core import Init.Grind.Attr @[expose] public section set_option linter...
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/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Init.Ext public import Std.Do.SPred.SVal public import Init.NotationExtra @[expose] public section set_option linter.missingDocs true /...
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/- Copyright (c) 2022 Lars König. All rights reserved. Released under Apache 2.0 license. Authors: Lars König, Sebastian Graf -/ module prelude public meta import Std.Do.SPred.Notation.Basic public import Std.Do.SPred.Notation.Basic public section set_option linter.missingDocs true namespace Std.Do open Lean Macro...
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/- Copyright (c) 2022 Lars König. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Lars König, Mario Carneiro, Sebastian Graf -/ module prelude public import Init.ByCases public import Std.Do.SPred.Laws import Init.Classical import Init.TacticsExtra @[expose] public se...
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exact HasFrame.reassoc.mp.trans (SPred.and_elim_l' (h hp))
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/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Std.Do.WP set_option linter.missingDocs true @[expose] public section /-! # Hoare triples Hoare triples form the basis for composition...
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/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Std.Do.Triple.Basic public import Init.Data.Range.Polymorphic.Iterators import Init.Data.Range.Polymorphic public import Init.Data.Slice.A...
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(wp⟦MonadExceptOf.tryCatch (ε:=ε) x h : m (Except ε' α)⟧ (fun e => e.casesOn Q.2.1 Q.1, Q.2.2)) Q := by simp only [Triple.iff] apply (wp _).mono simp intro x split <;> rfl @[spec] theorem Spec.tryCatch_OptionT_lift [WP m ps] [MonadExceptOf ε m] (Q : PostCond α (.except PUnit ps)) : Triple (ps...
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Triple (forIn xs init f) (inv.1 (⟨[], xs.toList, rfl⟩, init)) (fun b => inv.1 (⟨xs.toList, [], by simp⟩, b), inv.2) := by simp only [forIn] apply Spec.forIn'_rio inv step open Std.PRange in @[spec] theorem Spec.forIn'_rii {α β : Type u} {m : Type u → Type v} {ps : PostShape} [Monad m] [WPMonad m ps] [Least...
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rwa [Std.IterM.fold_map] @[spec] theorem Spec.IterM.fold_filter {α β δ : Type w} {m : Type w → Type w'} {ps} [Iterator α m β] [Finite α m] [Monad m] [LawfulMonad m] [WPMonad m ps] [IteratorLoop α m m] [LawfulIteratorLoop α m m] {f : β → Bool} {g : δ → β → δ} {init : δ} {it : IterM (α := α) m β} {P Q} (...
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/- Copyright (c) 2022 Lars König. All rights reserved. Released under Apache 2.0 license. Authors: Lars König, Sebastian Graf -/ module prelude public import Std.Do.SPred.SPred public section set_option linter.missingDocs true namespace Std.Do open Lean Macro Parser PrettyPrinter -- define `spred` embedding in `t...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Time public import Std.Internal.UV.UDP public import Std.Internal.Async.Select public section namespace Std namespace Internal nam...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Internal.Async.Select public section namespace Std namespace Internal namespace Async namespace IO open Std.Internal.IO.Async /-...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Time public import Std.Internal.UV.System public import Std.Data.HashMap import Init.Data.Ord.UInt public section open Std Time op...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Init.Data.Random public import Std.Internal.Async.Basic import Init.Data.ByteArray.Extra import Init.Data.Array.Lemmas import Init.Omega ...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving, Sofia Rodrigues, Mac Malone -/ module prelude public import Init.System.Promise public import Init.While public section namespace Std namespace Internal namespace IO n...
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let taskX : ETask ε _ ← MonadAsync.async x (prio := prio) let taskY : ETask ε _ ← MonadAsync.async y (prio := prio) let resultX ← MonadAwait.await taskX let resultY ← MonadAwait.await taskY return (resultX, resultY) /-- Runs two computations concurrently and returns the result of the one that finishes first. T...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Time public import Std.Internal.UV.System public import Std.Data.HashMap public section /-! This module contains all system relate...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Time public import Std.Internal.UV.Signal public import Std.Internal.Async.Select public section namespace Std namespace Internal ...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Internal.UV public import Std.Internal.Async.Timer public import Std.Sync.CancellationContext public section /-! This module conta...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Time public import Std.Internal.UV public import Std.Internal.Async.Basic public import Init.Data.Function public section namespac...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Time public import Std.Internal.UV.TCP public import Std.Internal.Async.Select public section namespace Std namespace Internal nam...
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/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving -/ module prelude public import Std.Time public import Std.Internal.UV.Timer public import Std.Internal.Async.Select public section namespace Std namespace Internal na...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Init.System.Promise public import Std.Net public section namespace Std namespace Internal namespace UV namespace UDP open Std.Net pr...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving, Sofia Rodrigues -/ module prelude public import Init.System.Promise public import Init.Data.SInt public import Std.Net @[expose] public section namespace Std namespace...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Init.System.Promise @[expose] public section namespace Std namespace Internal namespace UV namespace Loop /-- Options for configuring...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Init.System.Promise public import Init.Data.SInt public import Std.Net public section namespace Std namespace Internal namespace UV p...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Init.System.Promise public import Init.Data.SInt public import Std.Net @[expose] public section namespace Std namespace Internal names...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Henrik Böving, Sofia Rodrigues -/ module prelude public import Init.System.Promise public import Init.Data.SInt public import Std.Net public section namespace Std namespace Internal ...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Init.System.Promise public section namespace Std namespace Internal namespace UV private opaque TimerImpl : NonemptyType.{0} /-- `Ti...
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/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sofia Rodrigues -/ module prelude public import Std.Internal.Http.Data.Method public import Std.Internal.Http.Data.Version public import Std.Internal.Http.Data.Request public import St...