Goal:
  
  A : Type
  B : Type
  C : Type
  R : A → B → C → Type
  b0 : All3 R [] [] []
  b'' : list A
  b''0 : list B
  b' : list C
  ============================
   (∀ b : All3 R b'' b''0 b',
      {|
        pr1 := {| pr1 := []; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0
      |} =
      {|
        pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |};
        pr2 := b
      |}
      → let H := CoreTactics.block in
        NoConfusionHom_All3 A B C R [] [] [] All3_nil b0
        → let H0 := CoreTactics.block in All3_nil = b0)


DEBUG:Going to execute:
intros p