rw [Trichotomy] at hf
hso : ∀ (a b c : ↑{1, 2, 6, 30, 210}), (R4 a b → R4 b c → R4 a c) ∧ Trichotomy (R4 a b) (R4 b a) (a = b)
hf : (1 ∣ 1 → 1 ∣ 1 → 1 ∣ 1) ∧ Trichotomy (1 ∣ 1) (1 ∣ 1) True
⊢ False
hso : ∀ (a b c : ↑{1, 2, 6, 30, 210}), (R4 a b → R4 b c → R4 a c) ∧ Trichotomy (R4 a b) (R4 b a) (a = b)
hf : (1 ∣ 1 → 1 ∣ 1 → 1 ∣ 1) ∧ (¬1 ∣ 1 ∧ ¬1 ∣ 1 ∧ True ∨ ¬1 ∣ 1 ∧ 1 ∣ 1 ∧ ¬True ∨ 1 ∣ 1 ∧ ¬1 ∣ 1 ∧ ¬True)
⊢ False