Lemma istransfldfracgt (X : intdom) (is : isdeceq X) {R : hrel X} (is0 : @isbinophrel X R) (is1 : isringmultgt X R) (is2 : R 1 0) (nc : neqchoice R) (isr : istrans R) : istrans (fldfracgt X is is0 is1 is2 nc). Proof. intros. intros a b c. unfold fldfracgt. apply istransabmonoidfracrel. apply isr. Qed.
Require Import UniMath.Algebra.Groups.