package ff-pbt

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Parameters

module FiniteField : Ff_sig.BASE

val zero_nullifier_random : unit -> unit

val zero_nullifier_zero : unit -> unit

val zero_nullifier_one : unit -> unit

val inverse_property : unit -> unit

val inverse_of_one_is_one : unit -> unit

val zero_has_no_inverse : unit -> unit

val inverse_of_non_null_does_exist : unit -> unit

val inverse_of_inverse : unit -> unit

val opposite_property : unit -> unit

val opposite_of_opposite : unit -> unit

val opposite_of_zero_is_zero : unit -> unit

val additive_associativity : unit -> unit

val distributivity : unit -> unit

val multiplicative_associativity : unit -> unit

val pow_zero_to_zero_is_one : unit -> unit

0**0 = 1

val pow_zero_to_non_null_exponent_is_zero : unit -> unit

0 ** n = 0, n != 0

val pow_zero_on_random_equals_one : unit -> unit

val pow_zero_on_one_equals_one : unit -> unit

val pow_one_on_random_element_equals_the_random_element : unit -> unit

val pow_two_on_random_element_equals_the_square : unit -> unit

val pow_to_negative_exponent : unit -> unit

x**(-n) = x**(g - 1 - n) where g is the order of the additive group

val pow_addition_property : unit -> unit

val pow_to_the_additive_group_order_equals_same_element : unit -> unit

x**g = x where g = |(F, +, 0)|

val pow_to_the_multiplicative_group_order_equals_one : unit -> unit

x**g = 1 where g = |(F, *, 1)|

val pow_add_multiplicative_group_order_to_a_random_power : unit -> unit

x**(n + g) = x**n where g = |(F, *, 1)|

val get_tests : unit -> string * unit Alcotest.test_case list