Goal:
  
  A : Type
  B : Type
  C : Type
  P : A → B → C → Type
  x : (A × B) × C
  l : list ((A × B) × C)
  p : let '(a, b, c) := x in P a b c
  X : All (λ '(a, b, c), P a b c) l
  IHX : All (λ abc : (A × B) × C, P abc.1.1 abc.1.2 abc.2) l
  ============================
   (All (λ abc : (A × B) × C, P abc.1.1 abc.1.2 abc.2) (x :: l))


DEBUG:Going to execute:
<coq-core.plugins.ltac::constructor@0>