Goal:
    A : Type  P : A → Type  a : A  X1 : list A  X : All P X1
  ============================
   ([a] = X1
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)


DEBUG:Going to execute:
destruct p

Goals:
    A : Type  P : A → Type  a : A
  ============================
   ([a] = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)

    A : Type  P : A → Type  a : A  x : A  l : list A  p : P x  X : All P l
  ============================
   ([a] = x :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)


DEBUG:Going to execute:
DepElim.simpl_dep_elim

Goals:
    A : Type  P : A → Type  a : A
  ============================
   ([a] = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)

    A : Type  P : A → Type  a : A  x : A  l : list A  p : P x  X : All P l
  ============================
   ([a] = x :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)


DEBUG:Going to execute:
DepElim.simplify_dep_elim; DepElim.simplify_IH_hyps;
            DepElim.unblock_dep_elim

Goals:
    A : Type  P : A → Type  a : A
  ============================
   ([a] = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)

    A : Type  P : A → Type  a : A  x : A  l : list A  p : P x  X : All P l
  ============================
   ([a] = x :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)


DEBUG:Going to execute:
DepElim.simplify_dep_elim; DepElim.simplify_IH_hyps

Goals:
    A : Type  P : A → Type  a : A
  ============================
   ([a] = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)

    A : Type  P : A → Type  a : A  x : A  l : list A  p : P x  X : All P l
  ============================
   ([a] = x :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)


DEBUG:Going to execute:
DepElim.simplify_dep_elim

Goals:
    A : Type  P : A → Type  a : A
  ============================
   ([a] = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)

    A : Type  P : A → Type  a : A  x : A  l : list A  p : P x  X : All P l
  ============================
   ([a] = x :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P a)


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim