x = y → true
T → x = y → true
∀ a, x = a → a = y
∀ a, a = x → true
T → T → x = y → true
T → T → x = y → P y
(∀ x, P x ↔ Q x) → Q x
Prop → (∀ x, P x ↔ Q x) → Prop → Q x
∀ a, (∀ x, P x ↔ Q x) → a ∨ Q x
(∀ x, P x ↔ Q x) → Q x
∀ a, T → (∀ x, P x ↔ Q x) → Q a
∀ a a_1, a = a_1 → P a_1
∀ a a_1 a_2, a = a_1 → a_1 = a_2 → P a_2
∀ a a_1, a = a_1 → (∀ w, P w ↔ Q w) → Q a_1