diff --git a/src/lib/provable/field.ts b/src/lib/provable/field.ts
index 4afb787563..6f5398ae02 100644
--- a/src/lib/provable/field.ts
+++ b/src/lib/provable/field.ts
@@ -565,17 +565,14 @@ class Field {
    *
    * @example
    * ```ts
-   * Field(2).lessThan(3).assertEquals(Bool(true));
+   * let isTrue = Field(2).lessThan(3);
    * ```
    *
-   * **Warning**: Comparison methods only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * **Warning**: As this method compares the bigint value of a {@link Field}, it can result in unexpected behavior when used with negative inputs or modular division.
    *
    * @example
    * ```ts
-   * Field(1).div(Field(3)).lessThan(Field(1).div(Field(2))).assertEquals(Bool(true)); // This code will throw an error
+   * let isFalse = Field(1).div(3).lessThan(Field(1).div(2)); // in fact, 1/3 > 1/2
    * ```
    *
    * @param value - the "field-like" value to compare with this {@link Field}.
@@ -595,17 +592,14 @@ class Field {
    *
    * @example
    * ```ts
-   * Field(3).lessThanOrEqual(3).assertEquals(Bool(true));
+   * let isTrue = Field(3).lessThanOrEqual(3);
    * ```
    *
-   * **Warning**: Comparison methods only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * **Warning**: As this method compares the bigint value of a {@link Field}, it can result in unexpected behaviour when used with negative inputs or modular division.
    *
    * @example
    * ```ts
-   * Field(1).div(Field(3)).lessThanOrEqual(Field(1).div(Field(2))).assertEquals(Bool(true)); // This code will throw an error
+   * let isFalse = Field(1).div(3).lessThanOrEqual(Field(1).div(2)); // in fact, 1/3 > 1/2
    * ```
    *
    * @param value - the "field-like" value to compare with this {@link Field}.
@@ -625,17 +619,14 @@ class Field {
    *
    * @example
    * ```ts
-   * Field(5).greaterThan(3).assertEquals(Bool(true));
+   * let isTrue = Field(5).greaterThan(3);
    * ```
    *
-   * **Warning**: Comparison methods currently only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * **Warning**: As this method compares the bigint value of a {@link Field}, it can result in unexpected behaviour when used with negative inputs or modular division.
    *
    * @example
    * ```ts
-   * Field(1).div(Field(2)).greaterThan(Field(1).div(Field(3))).assertEquals(Bool(true)); // This code will throw an error
+   * let isFalse = Field(1).div(2).greaterThan(Field(1).div(3); // in fact, 1/3 > 1/2
    * ```
    *
    * @param value - the "field-like" value to compare with this {@link Field}.
@@ -652,17 +643,14 @@ class Field {
    *
    * @example
    * ```ts
-   * Field(3).greaterThanOrEqual(3).assertEquals(Bool(true));
+   * let isTrue = Field(3).greaterThanOrEqual(3);
    * ```
    *
-   * **Warning**: Comparison methods only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * **Warning**: As this method compares the bigint value of a {@link Field}, it can result in unexpected behaviour when used with negative inputs or modular division.
    *
    * @example
    * ```ts
-   * Field(1).div(Field(2)).greaterThanOrEqual(Field(1).div(Field(3))).assertEquals(Bool(true)); // This code will throw an error
+   * let isFalse = Field(1).div(2).greaterThanOrEqual(Field(1).div(3); // in fact, 1/3 > 1/2
    * ```
    *
    * @param value - the "field-like" value to compare with this {@link Field}.
@@ -675,14 +663,12 @@ class Field {
 
   /**
    * Assert that this {@link Field} is less than another "field-like" value.
-   * Calling this function is equivalent to `Field(...).lessThan(...).assertEquals(Bool(true))`.
+   *
+   * Note: This uses fewer constraints than `x.lessThan(y).assertTrue()`.
    * See {@link Field.lessThan} for more details.
    *
    * **Important**: If an assertion fails, the code throws an error.
    *
-   * **Warning**: Comparison methods only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * @param value - the "field-like" value to compare & assert with this {@link Field}.
    * @param message? - a string error message to print if the assertion fails, optional.
    */
@@ -702,14 +688,12 @@ class Field {
 
   /**
    * Assert that this {@link Field} is less than or equal to another "field-like" value.
-   * Calling this function is equivalent to `Field(...).lessThanOrEqual(...).assertEquals(Bool(true))`.
+   *
+   * Note: This uses fewer constraints than `x.lessThanOrEqual(y).assertTrue()`.
    * See {@link Field.lessThanOrEqual} for more details.
    *
    * **Important**: If an assertion fails, the code throws an error.
    *
-   * **Warning**: Comparison methods only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * @param value - the "field-like" value to compare & assert with this {@link Field}.
    * @param message? - a string error message to print if the assertion fails, optional.
    */
@@ -729,14 +713,12 @@ class Field {
 
   /**
    * Assert that this {@link Field} is greater than another "field-like" value.
-   * Calling this function is equivalent to `Field(...).greaterThan(...).assertEquals(Bool(true))`.
+   *
+   * Note: This uses fewer constraints than `x.greaterThan(y).assertTrue()`.
    * See {@link Field.greaterThan} for more details.
    *
    * **Important**: If an assertion fails, the code throws an error.
    *
-   * **Warning**: Comparison methods only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * @param value - the "field-like" value to compare & assert with this {@link Field}.
    * @param message? - a string error message to print if the assertion fails, optional.
    */
@@ -746,14 +728,12 @@ class Field {
 
   /**
    * Assert that this {@link Field} is greater than or equal to another "field-like" value.
-   * Calling this function is equivalent to `Field(...).greaterThanOrEqual(...).assertEquals(Bool(true))`.
+   *
+   * Note: This uses fewer constraints than `x.greaterThanOrEqual(y).assertTrue()`.
    * See {@link Field.greaterThanOrEqual} for more details.
    *
    * **Important**: If an assertion fails, the code throws an error.
    *
-   * **Warning**: Comparison methods only support Field elements of size <= 253 bits in provable code.
-   * The method will throw if one of the inputs exceeds 253 bits.
-   *
    * @param value - the "field-like" value to compare & assert with this {@link Field}.
    * @param message? - a string error message to print if the assertion fails, optional.
    */
diff --git a/src/lib/provable/test/field.unit-test.ts b/src/lib/provable/test/field.unit-test.ts
index 2465df3adb..54c2ae5518 100644
--- a/src/lib/provable/test/field.unit-test.ts
+++ b/src/lib/provable/test/field.unit-test.ts
@@ -76,8 +76,6 @@ let SmallField = Random.reject(
   (x) => x.toString(2).length > Fp.sizeInBits - 2
 );
 let smallField: Spec<bigint, Field> = { ...field, rng: SmallField };
-let smallBigint: Spec<bigint, bigint> = { ...bigintField, rng: SmallField };
-let smallFieldOrBigint = oneOf(smallField, smallBigint);
 
 // arithmetic, both in- and outside provable code
 let equivalent1 = equivalent({ from: [field], to: field });
@@ -105,11 +103,11 @@ equivalent({ from: [field, fieldOrBigint], to: bool })(
   (x, y) => x.equals(y)
 );
 
-equivalent({ from: [smallField, smallFieldOrBigint], to: bool })(
+equivalent({ from: [field, fieldOrBigint], to: bool })(
   (x, y) => x < y,
   (x, y) => x.lessThan(y)
 );
-equivalent({ from: [smallField, smallFieldOrBigint], to: bool })(
+equivalent({ from: [field, fieldOrBigint], to: bool })(
   (x, y) => x <= y,
   (x, y) => x.lessThanOrEqual(y)
 );
@@ -121,11 +119,11 @@ equivalent({ from: [field, fieldOrBigint], to: unit })(
   (x, y) => x !== y || throwError('equal'),
   (x, y) => x.assertNotEquals(y)
 );
-equivalent({ from: [smallField, smallFieldOrBigint], to: unit })(
+equivalent({ from: [field, fieldOrBigint], to: unit })(
   (x, y) => x < y || throwError('not less than'),
   (x, y) => x.assertLessThan(y)
 );
-equivalent({ from: [smallField, smallFieldOrBigint], to: unit })(
+equivalent({ from: [field, fieldOrBigint], to: unit })(
   (x, y) => x <= y || throwError('not less than or equal'),
   (x, y) => x.assertLessThanOrEqual(y)
 );