have p2 : Person := Nonempty.some (Fintype.card_pos_iff.mp (by omega))
Person Topic : Type
inst✝³ : Fintype Person
inst✝² : DecidableEq Person
inst✝¹ : Fintype Topic
inst✝ : DecidableEq Topic
card_person : 5 < Fintype.card Person
card_topic : Fintype.card Topic = 2
discusses : Person → Person → Topic
discussion_sym : ∀ (p1 p2 : Person), discusses p1 p2 = discusses p2 p1
⊢ ∃ t s, 2 < s.card ∧ ∀ p1 ∈ s, ∀ p2 ∈ s, p1 ≠ p2 → discusses p1 p2 = t
Person Topic : Type
inst✝³ : Fintype Person
inst✝² : DecidableEq Person
inst✝¹ : Fintype Topic
inst✝ : DecidableEq Topic
card_person : 5 < Fintype.card Person
card_topic : Fintype.card Topic = 2
discusses : Person → Person → Topic
discussion_sym : ∀ (p1 p2 : Person), discusses p1 p2 = discusses p2 p1
p2 : Person
⊢ ∃ t s, 2 < s.card ∧ ∀ p1 ∈ s, ∀ p2 ∈ s, p1 ≠ p2 → discusses p1 p2 = t