module string-thms where open import bool open import eq open import string postulate =string-refl : (s : string) → s =string s ≡ tt =string-to-≡ : (a b : string) → a =string b ≡ tt → a ≡ b ≡string-to-= : (a b : string) → a ≡ b → a =string b ≡ tt ≡string-to-= a .a refl = =string-refl a