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15 include "logic/connectives.ma".
17 ninductive eq (A: Type) (a: A) : A → CProp ≝
20 nlet rec eq_rect (A: Type) (x: A) (P: ∀y:A. eq A x y → CProp) (q: P x (refl A x))
21 (y: A) (p: eq A x y) on p : P y p ≝
25 interpretation "leibnitz's equality" 'eq t x y = (eq t x y).
27 interpretation "leibnitz's non-equality" 'neq t x y = (Not (eq t x y)).