Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  x : A
  y0 : B
  l' : list B
  r : R x y0
  a : All2 R [] l'
  a0 := {| pr1 := {| pr1 := []; pr2 := l' |}; pr2 := a |}
     : sigma
         (λ index : sigma (λ _ : list A, list B),
            All2 R (pr1 index) (pr2 index))
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in ∑ y' : B, y0 :: l' = [y'] × R x y')


DEBUG:Going to execute:
let id'2 := fresh id' in
           set (id'2 := pr2 id'); set (id'1 := pr1 id') in id'2;
            hnf in (value of id'1), (value of id'2);
            try red in (type of id'2);
            match goal with
            | id'1:=?t:_
              |- _ =>
                  generalize (eq_refl : t = id'1); clearbody id'2 id'1; clear
                   id' id; try unfold signature in id'2; 
                   hnf in id'2; simpl in id'2; rename id'2 into id;
                   cont id id id'1 t
            end