refine ⟨(c, p), ?_⟩
case a.mp.intro
C : Type u_1
J : Type u_2
r : C → J → Prop
inst✝¹ : Fintype J
inst✝ : Fintype C
c : C
p : JudgePair J
h₁ : JudgePair.Agree r p c
h₂ : p.Distinct
⊢ ∃ a,
    ((JudgePair.Agree r (AgreedTriple.judgePair a) (AgreedTriple.contestant a) ∧ (AgreedTriple.judgePair a).Distinct) ∧
        AgreedTriple.contestant a = c) ∧
      a.2 = p
case a.mp.intro
C : Type u_1
J : Type u_2
r : C → J → Prop
inst✝¹ : Fintype J
inst✝ : Fintype C
c : C
p : JudgePair J
h₁ : JudgePair.Agree r p c
h₂ : p.Distinct
⊢ ((JudgePair.Agree r (AgreedTriple.judgePair (c, p)) (AgreedTriple.contestant (c, p)) ∧
        (AgreedTriple.judgePair (c, p)).Distinct) ∧
      AgreedTriple.contestant (c, p) = c) ∧
    (c, p).2 = p