Goal:
  
  A : Type
  B : Type
  P : A → B → Type
  Q : A → B → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : P x y
  X : All2 P l l'
  IHX : All2 Q l l' → All2 (Trel_conj P Q) l l'
  H : All2 Q (x :: l) (y :: l')
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2 (Trel_conj P Q) (x :: l) (y :: l'))


DEBUG:Going to execute:
simpl in H

Goals:
    A : Type  B : Type  P : A → B → Type  Q : A → B → Type  H : All2 Q [] []
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2 (Trel_conj P Q) [] [])

  
  A : Type
  B : Type
  P : A → B → Type
  Q : A → B → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : P x y
  X : All2 P l l'
  IHX : All2 Q l l' → All2 (Trel_conj P Q) l l'
  H : All2 Q (x :: l) (y :: l')
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2 (Trel_conj P Q) (x :: l) (y :: l'))


DEBUG:Going to execute:
DepElim.simplify_equations_in H

Goals:
    A : Type  B : Type  P : A → B → Type  Q : A → B → Type  H : All2 Q [] []
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2 (Trel_conj P Q) [] [])

  
  A : Type
  B : Type
  P : A → B → Type
  Q : A → B → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : P x y
  X : All2 P l l'
  IHX : All2 Q l l' → All2 (Trel_conj P Q) l l'
  H : All2 Q (x :: l) (y :: l')
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2 (Trel_conj P Q) (x :: l) (y :: l'))


DEBUG:Going to execute:
fun e =>
             repeat progress (autounfold with equations in e; simpl in e)

Goals:
    A : Type  B : Type  P : A → B → Type  Q : A → B → Type  H : All2 Q [] []
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2 (Trel_conj P Q) [] [])

  
  A : Type
  B : Type
  P : A → B → Type
  Q : A → B → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : P x y
  X : All2 P l l'
  IHX : All2 Q l l' → All2 (Trel_conj P Q) l l'
  H : All2 Q (x :: l) (y :: l')
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2 (Trel_conj P Q) (x :: l) (y :: l'))


DEBUG:Going to execute:
repeat progress (autounfold with equations in e; simpl in e)