This module contains the verification of the bitblaster for symbolic BitVec values from Impl.Var.

@[irreducible]

theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go_get_aux {w : Nat} (aig : Std.Sat.AIG Std.Tactic.BVDecide.BVBit) (a : Nat) (curr : Nat) (hcurr : curr ≤ w) (s : aig.RefVec curr) (idx : Nat) (hidx : idx < curr) (hfoo : aig.decls.size ≤ (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go aig w a curr s hcurr).aig.decls.size) : (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go aig w a curr s hcurr).vec.get idx ⋯ = (s.get idx hidx).cast hfoo

theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go_get {w : Nat} (aig : Std.Sat.AIG Std.Tactic.BVDecide.BVBit) (a : Nat) (curr : Nat) (hcurr : curr ≤ w) (s : aig.RefVec curr) (idx : Nat) (hidx : idx < curr) : (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go aig w a curr s hcurr).vec.get idx ⋯ = (s.get idx hidx).cast ⋯

theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go_denote_mem_prefix {assign : Std.Tactic.BVDecide.BVBit → Bool} {w : Nat} (aig : Std.Sat.AIG Std.Tactic.BVDecide.BVBit) (idx : Nat) (hidx : idx ≤ w) (s : aig.RefVec idx) (a : Nat) (start : Nat) (hstart : start < aig.decls.size) : ⟦assign, { aig := (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go aig w a idx s hidx).aig, ref := { gate := start, hgate := ⋯ } }⟧ = ⟦assign, { aig := aig, ref := { gate := start, hgate := hstart } }⟧

@[irreducible]

theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go_denote_eq {w : Nat} (aig : Std.Sat.AIG Std.Tactic.BVDecide.BVBit) (a : Nat) (assign : Std.Tactic.BVDecide.BVExpr.Assignment) (curr : Nat) (hcurr : curr ≤ w) (s : aig.RefVec curr) (idx : Nat) (hidx1 : idx < w) : curr ≤ idx → ⟦assign.toAIGAssignment, { aig := (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go aig w a curr s hcurr).aig, ref := (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar.go aig w a curr s hcurr).vec.get idx hidx1 }⟧ = (Std.Tactic.BVDecide.BVExpr.eval assign (Std.Tactic.BVDecide.BVExpr.var a)).getLsbD idx

@[simp]

theorem Std.Tactic.BVDecide.BVExpr.bitblast.denote_blastVar {w : Nat} (aig : Std.Sat.AIG Std.Tactic.BVDecide.BVBit) (var : Std.Tactic.BVDecide.BVExpr.bitblast.BVVar w) (assign : Std.Tactic.BVDecide.BVExpr.Assignment) (idx : Nat) (hidx : idx < w) : ⟦assign.toAIGAssignment, { aig := (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar aig var).aig, ref := (Std.Tactic.BVDecide.BVExpr.bitblast.blastVar aig var).vec.get idx hidx }⟧ = (Std.Tactic.BVDecide.BVExpr.eval assign (Std.Tactic.BVDecide.BVExpr.var var.ident)).getLsbD idx