diff -r 627511c13164 -r dd8922885a68 src/HOL/GCD.thy --- a/src/HOL/GCD.thy Sun Oct 08 22:28:20 2017 +0200 +++ b/src/HOL/GCD.thy Sun Oct 08 22:28:20 2017 +0200 @@ -1510,21 +1510,6 @@ lemma Gcd_2 [simp]: "Gcd {a, b} = gcd a b" by simp - -definition pairwise_coprime - where "pairwise_coprime A = (\x y. x \ A \ y \ A \ x \ y \ coprime x y)" - -lemma pairwise_coprimeI [intro?]: - "(\x y. x \ A \ y \ A \ x \ y \ coprime x y) \ pairwise_coprime A" - by (simp add: pairwise_coprime_def) - -lemma pairwise_coprimeD: - "pairwise_coprime A \ x \ A \ y \ A \ x \ y \ coprime x y" - by (simp add: pairwise_coprime_def) - -lemma pairwise_coprime_subset: "pairwise_coprime A \ B \ A \ pairwise_coprime B" - by (force simp: pairwise_coprime_def) - end