Goal:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  Γ' : list A
  H : All2_fold Q [] Γ'
  H0 := {| pr1 := {| pr1 := []; pr2 := Γ' |}; pr2 := H |}
     : sigma
         (λ index : sigma (λ _ : list A, list A),
            All2_fold Q (pr1 index) (pr2 index))
  H1 : sigma (λ _ : list A, list A)
  H2 : (λ index : sigma (λ _ : list A, list A),
          All2_fold Q (pr1 index) (pr2 index)) H1
  ============================
   ({| pr1 := []; pr2 := Γ' |} = H1
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in
      All2_fold (λ (Γ Γ' : list A) (d d' : A), P Γ d × Q Γ Γ' d d') [] Γ')


DEBUG:Going to execute:
clear id' id