apply hk
case hn
C : Type u_1
J : Type u_2
r : C → J → Prop
inst✝¹ : Fintype J
inst✝ : Fintype C
k : ℕ
hk : ∀ (p : JudgePair J), p.Distinct → (agreedContestants r p).card ≤ k
p : JudgePair J
hp : p ∈ Finset.univ.offDiag
hp' : p.Distinct
⊢ (agreedContestants r p).card ≤ k
case hn.a
C : Type u_1
J : Type u_2
r : C → J → Prop
inst✝¹ : Fintype J
inst✝ : Fintype C
k : ℕ
hk : ∀ (p : JudgePair J), p.Distinct → (agreedContestants r p).card ≤ k
p : JudgePair J
hp : p ∈ Finset.univ.offDiag
hp' : p.Distinct
⊢ p.Distinct