diff -r 9117e228a8e3 -r 9062e98fdab1 src/HOL/Groebner_Basis.thy --- a/src/HOL/Groebner_Basis.thy Tue Jun 05 17:16:41 2007 +0200 +++ b/src/HOL/Groebner_Basis.thy Tue Jun 05 18:36:07 2007 +0200 @@ -18,7 +18,7 @@ setup NormalizerData.setup -locale semiring = +locale gb_semiring = fixes add mul pwr r0 r1 assumes add_a:"(add x (add y z) = add (add x y) z)" and add_c: "add x y = add y x" and add_0:"add r0 x = x" @@ -161,11 +161,11 @@ lemma "axioms" [normalizer semiring ops: semiring_ops semiring rules: semiring_rules]: - "semiring add mul pwr r0 r1" . + "gb_semiring add mul pwr r0 r1" . end -interpretation class_semiring: semiring +interpretation class_semiring: gb_semiring ["op +" "op *" "op ^" "0::'a::{comm_semiring_1, recpower}" "1"] by unfold_locales (auto simp add: ring_eq_simps power_Suc) @@ -212,7 +212,7 @@ *} -locale ring = semiring + +locale gb_ring = gb_semiring + fixes sub :: "'a \ 'a \ 'a" and neg :: "'a \ 'a" assumes neg_mul: "neg x = mul (neg r1) x" @@ -230,12 +230,12 @@ semiring rules: semiring_rules ring ops: ring_ops ring rules: ring_rules]: - "ring add mul pwr r0 r1 sub neg" . + "gb_ring add mul pwr r0 r1 sub neg" . end -interpretation class_ring: ring ["op +" "op *" "op ^" +interpretation class_ring: gb_ring ["op +" "op *" "op ^" "0::'a::{comm_semiring_1,recpower,number_ring}" 1 "op -" "uminus"] by unfold_locales simp_all @@ -261,7 +261,7 @@ subsection {* Gröbner Bases *} -locale semiringb = semiring + +locale semiringb = gb_semiring + assumes add_cancel: "add (x::'a) y = add x z \ y = z" and add_mul_solve: "add (mul w y) (mul x z) = add (mul w z) (mul x y) \ w = x \ y = z" @@ -297,7 +297,7 @@ end -locale ringb = semiringb + ring +locale ringb = semiringb + gb_ring begin declare "axioms" [normalizer del] @@ -384,7 +384,7 @@ *} -lemmas bool_simps = simp_thms(1-34) +lemmas bool_simps = simp_thms(1-34) lemma dnf: "(P & (Q | R)) = ((P&Q) | (P&R))" "((Q | R) & P) = ((Q&P) | (R&P))" "(P \ Q) = (Q \ P)" "(P \ Q) = (Q \ P)"