rcases h with ⟨_, ⟨_, ⟨_, ⟨h, _⟩⟩⟩⟩
case a.mpr
C : Type u_1
J : Type u_2
r : C → J → Prop
inst✝¹ : Fintype J
inst✝ : Fintype C
p : JudgePair J
h✝ : p.Distinct
c : C
h :
  ∃ a a_1 b,
    (((a, a_1, b) ∈ Finset.univ ∧
          JudgePair.Agree r (AgreedTriple.judgePair (a, a_1, b)) (AgreedTriple.contestant (a, a_1, b)) ∧
            (AgreedTriple.judgePair (a, a_1, b)).Distinct) ∧
        AgreedTriple.judgePair (a, a_1, b) = p) ∧
      AgreedTriple.contestant (a, a_1, b) = c
⊢ c ∈ Finset.filter (fun c => JudgePair.Agree r p c) Finset.univ
case a.mpr.intro.intro.intro.intro
C : Type u_1
J : Type u_2
r : C → J → Prop
inst✝¹ : Fintype J
inst✝ : Fintype C
p : JudgePair J
h✝ : p.Distinct
c w✝² : C
w✝¹ w✝ : J
h :
  ((w✝², w✝¹, w✝) ∈ Finset.univ ∧
      JudgePair.Agree r (AgreedTriple.judgePair (w✝², w✝¹, w✝)) (AgreedTriple.contestant (w✝², w✝¹, w✝)) ∧
        (AgreedTriple.judgePair (w✝², w✝¹, w✝)).Distinct) ∧
    AgreedTriple.judgePair (w✝², w✝¹, w✝) = p
right✝ : AgreedTriple.contestant (w✝², w✝¹, w✝) = c
⊢ c ∈ Finset.filter (fun c => JudgePair.Agree r p c) Finset.univ