Goal:
  
  A : Type
  B : Type
  P : A → Type
  Q : A → B → Type
  x : A
  l : list A
  p : P x
  H1 : All P l
  H2 : ∀ (x : A) (y : B), In y [] → P x → Q x y
  ============================
   (S #|l| = 0
    → let H := CoreTactics.block in
      (∀ l' : list B,
         (∀ (x : A) (y : B), In y l' → P x → Q x y)
         → #|l'| = #|l| → All2 Q l l')
      → let H0 := CoreTactics.block in All2 Q (x :: l) [])


DEBUG:Going to execute:
<coq-equations.plugin::simplify@0> $1

Goals:

DEBUG:Going to execute:
cbv beta

Goals:

DEBUG:Going to execute:
DepElim.simplify_IH_hyps

Goals:

DEBUG:Going to execute:
repeat
            match goal with
            | hyp:context [ CoreTactics.block ]
              |- _ =>
                  cbn beta in hyp; eqns_specialize_eqs_block hyp;
                   cbn[eq_rect_r eq_rect] in hyp
            end

Goals:

DEBUG:Going to execute:
DepElim.unblock_dep_elim

Goals:

DEBUG:Going to execute:
match goal with
           | |- let _ := CoreTactics.block in ?T =>
                 match T with
                 | context [ CoreTactics.block ] =>
                     change T; CoreTactics.intros_until_block
                 end
           | _ => CoreTactics.unblock_goal
           end

Goals:

DEBUG:Going to execute:
CoreTactics.unblock_goal

Goals:

DEBUG:Going to execute:
unfold CoreTactics.block in *; cbv zeta

Goals:

DEBUG:Going to execute:
unfold CoreTactics.block in *

Goals:

DEBUG:Going to execute:
cbv zeta