Goal:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  h1 : list A
  h : All (P y) h1
  ============================
   (x :: xs = h1
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)


DEBUG:Going to execute:
destruct p

Goals:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  ============================
   (x :: xs = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)

  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  x0 : A
  l : list A
  p : P y x0
  h : All (P y) l
  ============================
   (x :: xs = x0 :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)


DEBUG:Going to execute:
DepElim.simpl_dep_elim

Goals:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  ============================
   (x :: xs = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)

  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  x0 : A
  l : list A
  p : P y x0
  h : All (P y) l
  ============================
   (x :: xs = x0 :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)


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

Goals:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  ============================
   (x :: xs = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)

  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  x0 : A
  l : list A
  p : P y x0
  h : All (P y) l
  ============================
   (x :: xs = x0 :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)


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

Goals:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  ============================
   (x :: xs = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)

  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  x0 : A
  l : list A
  p : P y x0
  h : All (P y) l
  ============================
   (x :: xs = x0 :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)


DEBUG:Going to execute:
DepElim.simplify_dep_elim

Goals:
  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  ============================
   (x :: xs = []
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)

  
  A : Type
  B : Type
  C : Type
  Q : C → Type
  P : C → A → Prop
  x : A
  xs : list A
  y : C
  X : Q y
  x0 : A
  l : list A
  p : P y x0
  h : All (P y) l
  ============================
   (x :: xs = x0 :: l
    → let H := CoreTactics.block in let H0 := CoreTactics.block in P y x)


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim