Goal:
  
  A : Type
  B : Type
  C : Type
  P : A → B → Type
  Q : B → C → Type
  R : A → C → Type
  l'' : list C
  a1 : sigma (λ _ : list B, list C)
  a : All2 Q (pr1 a1) (pr2 a1)
  ============================
   ({| pr1 := []; pr2 := l'' |} = a1
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in
      (∀ (x : A) (y : B) (z : C), P x y → Q y z → R x z) → All2 R [] l'')


DEBUG:Going to execute:
destruct id as [xn id]; DepElim.decompose_exists xn id;
            cbv beta iota delta [TODO projection TODO projection] in id, id'