diff --git a/snark-verifier/src/pcs/kzg/accumulation.rs b/snark-verifier/src/pcs/kzg/accumulation.rs
index 122ddad7..54a4176d 100644
--- a/snark-verifier/src/pcs/kzg/accumulation.rs
+++ b/snark-verifier/src/pcs/kzg/accumulation.rs
@@ -2,7 +2,7 @@ use crate::{
     loader::{native::NativeLoader, LoadedScalar, Loader},
     pcs::{kzg::KzgAccumulator, AccumulationScheme, AccumulationSchemeProver},
     util::{
-        arithmetic::{Curve, CurveAffine, Field, MultiMillerLoop, PrimeField},
+        arithmetic::{Curve, CurveAffine, Field, MultiMillerLoop},
         msm::Msm,
         transcript::{TranscriptRead, TranscriptWrite},
     },
@@ -20,7 +20,6 @@ impl<M, L, MOS> AccumulationScheme<M::G1Affine, L> for KzgAs<M, MOS>
 where
     M: MultiMillerLoop,
     M::G1Affine: CurveAffine,
-    M::Fr: PrimeField,
     L: Loader<M::G1Affine>,
     MOS: Clone + Debug,
 {
@@ -142,7 +141,6 @@ impl<M, MOS> AccumulationSchemeProver<M::G1Affine> for KzgAs<M, MOS>
 where
     M: MultiMillerLoop,
     M::G1Affine: CurveAffine,
-    M::Fr: PrimeField,
     MOS: Clone + Debug,
 {
     type ProvingKey = KzgAsProvingKey<M::G1Affine>;
diff --git a/snark-verifier/src/pcs/kzg/decider.rs b/snark-verifier/src/pcs/kzg/decider.rs
index cfc64005..bd2d8f5e 100644
--- a/snark-verifier/src/pcs/kzg/decider.rs
+++ b/snark-verifier/src/pcs/kzg/decider.rs
@@ -68,7 +68,7 @@ mod native {
             AccumulationDecider,
         },
         util::{
-            arithmetic::{Group, MillerLoopResult, MultiMillerLoop, PrimeField},
+            arithmetic::{Group, MillerLoopResult, MultiMillerLoop},
             Itertools,
         },
         Error,
@@ -79,7 +79,6 @@ mod native {
     where
         M: MultiMillerLoop,
         M::G1Affine: CurveAffine,
-        M::Fr: PrimeField,
         MOS: Clone + Debug,
     {
         type DecidingKey = KzgDecidingKey<M>;
diff --git a/snark-verifier/src/pcs/kzg/multiopen/bdfg21.rs b/snark-verifier/src/pcs/kzg/multiopen/bdfg21.rs
index 02452221..7c2313b5 100644
--- a/snark-verifier/src/pcs/kzg/multiopen/bdfg21.rs
+++ b/snark-verifier/src/pcs/kzg/multiopen/bdfg21.rs
@@ -1,4 +1,4 @@
-use halo2_curves::group::prime::PrimeCurveAffine;
+use halo2_curves::{ff::PrimeField, group::prime::PrimeCurveAffine};
 
 use crate::{
     cost::{Cost, CostEstimation},
@@ -8,7 +8,7 @@ use crate::{
         PolynomialCommitmentScheme, Query,
     },
     util::{
-        arithmetic::{CurveAffine, Fraction, MultiMillerLoop, PrimeField},
+        arithmetic::{CurveAffine, Fraction, MultiMillerLoop},
         msm::Msm,
         transcript::TranscriptRead,
         Itertools,
@@ -30,7 +30,6 @@ impl<M, L> PolynomialCommitmentScheme<M::G1Affine, L> for KzgAs<M, Bdfg21>
 where
     M: MultiMillerLoop,
     M::G1Affine: CurveAffine,
-    M::Fr: PrimeField + Ord,
     L: Loader<M::G1Affine>,
 {
     type VerifyingKey = KzgSuccinctVerifyingKey<M::G1Affine>;
@@ -373,7 +372,6 @@ where
 impl<M> CostEstimation<M::G1Affine> for KzgAs<M, Bdfg21>
 where
     M: MultiMillerLoop,
-    M::Fr: PrimeField,
 {
     type Input = Vec<Query<M::Fr>>;
 
diff --git a/snark-verifier/src/pcs/kzg/multiopen/gwc19.rs b/snark-verifier/src/pcs/kzg/multiopen/gwc19.rs
index 288f1aba..aa5b800b 100644
--- a/snark-verifier/src/pcs/kzg/multiopen/gwc19.rs
+++ b/snark-verifier/src/pcs/kzg/multiopen/gwc19.rs
@@ -26,7 +26,6 @@ impl<M, L> PolynomialCommitmentScheme<M::G1Affine, L> for KzgAs<M, Gwc19>
 where
     M: MultiMillerLoop,
     M::G1Affine: CurveAffine,
-    M::Fr: PrimeField,
     L: Loader<M::G1Affine>,
 {
     type VerifyingKey = KzgSuccinctVerifyingKey<M::G1Affine>;
@@ -164,7 +163,6 @@ where
 impl<M> CostEstimation<M::G1Affine> for KzgAs<M, Gwc19>
 where
     M: MultiMillerLoop,
-    M::Fr: PrimeField,
 {
     type Input = Vec<Query<M::Fr>>;
 
diff --git a/snark-verifier/src/system/halo2/test/kzg.rs b/snark-verifier/src/system/halo2/test/kzg.rs
index 2340e624..6528a822 100644
--- a/snark-verifier/src/system/halo2/test/kzg.rs
+++ b/snark-verifier/src/system/halo2/test/kzg.rs
@@ -1,6 +1,6 @@
 use crate::{
     system::halo2::test::{read_or_create_srs, MainGateWithRange},
-    util::arithmetic::{fe_to_limbs, CurveAffine, MultiMillerLoop, PrimeField},
+    util::arithmetic::{fe_to_limbs, CurveAffine, MultiMillerLoop},
 };
 use halo2_curves::{serde::SerdeObject, CurveExt};
 use halo2_proofs::poly::{commitment::ParamsProver, kzg::commitment::ParamsKZG};
@@ -21,7 +21,6 @@ pub const BITS: usize = 68;
 
 pub fn setup<M: MultiMillerLoop>(k: u32) -> ParamsKZG<M>
 where
-    M::Fr: PrimeField,
     M::G1Affine: SerdeObject + CurveAffine,
     M::G1: CurveExt<AffineExt = M::G1Affine>,
 {