-- Mathlib/.lake/packages/lean4/src/lean/Std/Tactic/BVDecide/Bitblast/BVExpr/Circuit/Impl/Operations/Udiv.lean
theorem blastDivSubtractShift_decl_eq (aig : AIG α) (falseRef trueRef : AIG.Ref aig)
     (n d : AIG.RefVec aig w) (wn wr : Nat) (q r : AIG.RefVec aig w) :
    ∀ (idx : Nat) (h1) (h2),
        (blastDivSubtractShift aig falseRef trueRef n d wn wr q r).aig.decls[idx]'h2 = aig.decls[idx]'h1

Proof state:
α : Type
inst✝¹ : Hashable α
inst✝ : DecidableEq α
w : Nat
aig : AIG α
falseRef trueRef : aig.Ref
n d : aig.RefVec w
wn wr : Nat
q r : aig.RefVec w
res : BlastDivSubtractShiftOutput aig w
hres :
  {
      aig :=
        (AIG.RefVec.ite
            (AIG.RefVec.ite
                (BVPred.mkUlt
                    (blastSub
                        (blastShiftConcat
                            (blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                            { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯,
                          rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                    {
                      lhs :=
                        (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯,
                      rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                {
                  discr :=
                    (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                  lhs :=
                    (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯).cast
                      ⋯,
                  rhs :=
                    ((blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                          ⋯).cast
                      ⋯ }).aig
            {
              discr :=
                (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                  ⋯,
              lhs :=
                (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯).cast
                      ⋯).cast
                  ⋯,
              rhs :=
                ((blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                      ⋯).cast
                  ⋯ }).aig,
      wn := wn - 1, wr := wr + 1,
      q :=
        (AIG.RefVec.ite
                (BVPred.mkUlt
                    (blastSub
                        (blastShiftConcat
                            (blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                            { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯,
                          rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                    {
                      lhs :=
                        (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯,
                      rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                {
                  discr :=
                    (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                  lhs :=
                    (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯).cast
                      ⋯,
                  rhs :=
                    ((blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                          ⋯).cast
                      ⋯ }).vec.cast
          ⋯,
      r :=
        (AIG.RefVec.ite
            (AIG.RefVec.ite
                (BVPred.mkUlt
                    (blastSub
                        (blastShiftConcat
                            (blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                            { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯,
                          rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                    {
                      lhs :=
                        (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯,
                      rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                {
                  discr :=
                    (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                  lhs :=
                    (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯).cast
                      ⋯,
                  rhs :=
                    ((blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                          ⋯).cast
                      ⋯ }).aig
            {
              discr :=
                (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                  ⋯,
              lhs :=
                (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯).cast
                      ⋯).cast
                  ⋯,
              rhs :=
                ((blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                      ⋯).cast
                  ⋯ }).vec,
      hle := ⋯ } =
    res
⊢ ∀ (idx : Nat) (h1 : idx < aig.decls.size) (h2 : idx < res.aig.decls.size), res.aig.decls[idx] = aig.decls[idx]

Tactic:
rw [← hres]

Result:
α : Type
inst✝¹ : Hashable α
inst✝ : DecidableEq α
w : Nat
aig : AIG α
falseRef trueRef : aig.Ref
n d : aig.RefVec w
wn wr : Nat
q r : aig.RefVec w
res : BlastDivSubtractShiftOutput aig w
hres :
  {
      aig :=
        (AIG.RefVec.ite
            (AIG.RefVec.ite
                (BVPred.mkUlt
                    (blastSub
                        (blastShiftConcat
                            (blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                            { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯,
                          rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                    {
                      lhs :=
                        (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯,
                      rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                {
                  discr :=
                    (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                  lhs :=
                    (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯).cast
                      ⋯,
                  rhs :=
                    ((blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                          ⋯).cast
                      ⋯ }).aig
            {
              discr :=
                (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                  ⋯,
              lhs :=
                (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯).cast
                      ⋯).cast
                  ⋯,
              rhs :=
                ((blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                      ⋯).cast
                  ⋯ }).aig,
      wn := wn - 1, wr := wr + 1,
      q :=
        (AIG.RefVec.ite
                (BVPred.mkUlt
                    (blastSub
                        (blastShiftConcat
                            (blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                            { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯,
                          rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                    {
                      lhs :=
                        (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯,
                      rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                {
                  discr :=
                    (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                  lhs :=
                    (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯).cast
                      ⋯,
                  rhs :=
                    ((blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                          ⋯).cast
                      ⋯ }).vec.cast
          ⋯,
      r :=
        (AIG.RefVec.ite
            (AIG.RefVec.ite
                (BVPred.mkUlt
                    (blastSub
                        (blastShiftConcat
                            (blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                            { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯,
                          rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                    {
                      lhs :=
                        (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯,
                      rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                {
                  discr :=
                    (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                  lhs :=
                    (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯).cast
                      ⋯,
                  rhs :=
                    ((blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                          ⋯).cast
                      ⋯ }).aig
            {
              discr :=
                (BVPred.mkUlt
                        (blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          lhs :=
                            (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                  ⋯,
              lhs :=
                (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast ⋯).cast
                          ⋯).cast
                      ⋯).cast
                  ⋯,
              rhs :=
                ((blastSub
                            (blastShiftConcat
                                (blastShiftConcat
                                    (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                    { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                  ⋯,
                              rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                      ⋯).cast
                  ⋯ }).vec,
      hle := ⋯ } =
    res
⊢ ∀ (idx : Nat) (h1 : idx < aig.decls.size)
    (h2 :
      idx <
        {
                aig :=
                  (AIG.RefVec.ite
                      (AIG.RefVec.ite
                          (BVPred.mkUlt
                              (blastSub
                                  (blastShiftConcat
                                      (blastShiftConcat
                                          (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                          { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                      { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                              {
                                lhs :=
                                  (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                            ⋯).cast
                                        ⋯).cast
                                    ⋯,
                                rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                          {
                            discr :=
                              (BVPred.mkUlt
                                  (blastSub
                                      (blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                      {
                                        lhs :=
                                          ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯,
                                        rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                            lhs :=
                              (((blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                                        ⋯).cast
                                    ⋯).cast
                                ⋯,
                            rhs :=
                              ((blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                                    ⋯).cast
                                ⋯ }).aig
                      {
                        discr :=
                          (BVPred.mkUlt
                                  (blastSub
                                      (blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                      {
                                        lhs :=
                                          ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯,
                                        rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                            ⋯,
                        lhs :=
                          (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                        ⋯).cast
                                    ⋯).cast
                                ⋯).cast
                            ⋯,
                        rhs :=
                          ((blastSub
                                      (blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                      {
                                        lhs :=
                                          ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯,
                                        rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                                ⋯).cast
                            ⋯ }).aig,
                wn := wn - 1, wr := wr + 1,
                q :=
                  (AIG.RefVec.ite
                          (BVPred.mkUlt
                              (blastSub
                                  (blastShiftConcat
                                      (blastShiftConcat
                                          (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                          { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                      { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                              {
                                lhs :=
                                  (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                            ⋯).cast
                                        ⋯).cast
                                    ⋯,
                                rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                          {
                            discr :=
                              (BVPred.mkUlt
                                  (blastSub
                                      (blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                      {
                                        lhs :=
                                          ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯,
                                        rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                            lhs :=
                              (((blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                                        ⋯).cast
                                    ⋯).cast
                                ⋯,
                            rhs :=
                              ((blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                                    ⋯).cast
                                ⋯ }).vec.cast
                    ⋯,
                r :=
                  (AIG.RefVec.ite
                      (AIG.RefVec.ite
                          (BVPred.mkUlt
                              (blastSub
                                  (blastShiftConcat
                                      (blastShiftConcat
                                          (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                          { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                      { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                              {
                                lhs :=
                                  (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                            ⋯).cast
                                        ⋯).cast
                                    ⋯,
                                rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                          {
                            discr :=
                              (BVPred.mkUlt
                                  (blastSub
                                      (blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                      {
                                        lhs :=
                                          ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯,
                                        rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                            lhs :=
                              (((blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                                        ⋯).cast
                                    ⋯).cast
                                ⋯,
                            rhs :=
                              ((blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                                    ⋯).cast
                                ⋯ }).aig
                      {
                        discr :=
                          (BVPred.mkUlt
                                  (blastSub
                                      (blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                      {
                                        lhs :=
                                          ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯,
                                        rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                  {
                                    lhs :=
                                      (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯).cast
                                        ⋯,
                                    rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                            ⋯,
                        lhs :=
                          (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                        ⋯).cast
                                    ⋯).cast
                                ⋯).cast
                            ⋯,
                        rhs :=
                          ((blastSub
                                      (blastShiftConcat
                                          (blastShiftConcat
                                              (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                              { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                          { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                      {
                                        lhs :=
                                          ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                                ⋯).cast
                                            ⋯,
                                        rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                                ⋯).cast
                            ⋯ }).vec,
                hle := ⋯ }.aig.decls.size),
    {
              aig :=
                (AIG.RefVec.ite
                    (AIG.RefVec.ite
                        (BVPred.mkUlt
                            (blastSub
                                (blastShiftConcat
                                    (blastShiftConcat
                                        (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                        { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                    { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                      ⋯).cast
                                  ⋯,
                              rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          discr :=
                            (BVPred.mkUlt
                                (blastSub
                                    (blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                    {
                                      lhs :=
                                        ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯,
                                      rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                          lhs :=
                            (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                                      ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs :=
                            ((blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                                  ⋯).cast
                              ⋯ }).aig
                    {
                      discr :=
                        (BVPred.mkUlt
                                (blastSub
                                    (blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                    {
                                      lhs :=
                                        ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯,
                                      rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                          ⋯,
                      lhs :=
                        (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                      ⋯).cast
                                  ⋯).cast
                              ⋯).cast
                          ⋯,
                      rhs :=
                        ((blastSub
                                    (blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                    {
                                      lhs :=
                                        ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯,
                                      rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯ }).aig,
              wn := wn - 1, wr := wr + 1,
              q :=
                (AIG.RefVec.ite
                        (BVPred.mkUlt
                            (blastSub
                                (blastShiftConcat
                                    (blastShiftConcat
                                        (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                        { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                    { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                      ⋯).cast
                                  ⋯,
                              rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          discr :=
                            (BVPred.mkUlt
                                (blastSub
                                    (blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                    {
                                      lhs :=
                                        ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯,
                                      rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                          lhs :=
                            (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                                      ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs :=
                            ((blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                                  ⋯).cast
                              ⋯ }).vec.cast
                  ⋯,
              r :=
                (AIG.RefVec.ite
                    (AIG.RefVec.ite
                        (BVPred.mkUlt
                            (blastSub
                                (blastShiftConcat
                                    (blastShiftConcat
                                        (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                        { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                    { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                            {
                              lhs :=
                                (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                      ⋯).cast
                                  ⋯,
                              rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).aig
                        {
                          discr :=
                            (BVPred.mkUlt
                                (blastSub
                                    (blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                    {
                                      lhs :=
                                        ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯,
                                      rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref,
                          lhs :=
                            (((blastShiftConcat (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).vec.cast
                                      ⋯).cast
                                  ⋯).cast
                              ⋯,
                          rhs :=
                            ((blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).vec.cast
                                  ⋯).cast
                              ⋯ }).aig
                    {
                      discr :=
                        (BVPred.mkUlt
                                (blastSub
                                    (blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                    {
                                      lhs :=
                                        ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯,
                                      rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).aig
                                {
                                  lhs :=
                                    (((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯).cast
                                      ⋯,
                                  rhs := (((d.cast ⋯).cast ⋯).cast ⋯).cast ⋯ }).ref.cast
                          ⋯,
                      lhs :=
                        (((((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast ⋯).cast
                                      ⋯).cast
                                  ⋯).cast
                              ⋯).cast
                          ⋯,
                      rhs :=
                        ((blastSub
                                    (blastShiftConcat
                                        (blastShiftConcat
                                            (blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).aig
                                            { lhs := q.cast ⋯, bit := falseRef.cast ⋯ }).aig
                                        { lhs := (q.cast ⋯).cast ⋯, bit := (trueRef.cast ⋯).cast ⋯ }).aig
                                    {
                                      lhs :=
                                        ((blastShiftConcat aig { lhs := r, bit := n.getD (wn - 1) falseRef }).vec.cast
                                              ⋯).cast
                                          ⋯,
                                      rhs := ((d.cast ⋯).cast ⋯).cast ⋯ }).vec.cast
                              ⋯).cast
                          ⋯ }).vec,
              hle := ⋯ }.aig.decls[idx] =
      aig.decls[idx]