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2023-06-07 15:05
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feat: port RingTheory.Polynomial.Cyclotomic.Basic (
#4805
)
Estimated changes
Modified
Mathlib.lean
Created
Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean
added
theorem
Polynomial.X_pow_sub_one_dvd_prod_cyclotomic
added
theorem
Polynomial.X_pow_sub_one_eq_prod
added
theorem
Polynomial.X_pow_sub_one_mul_cyclotomic_dvd_X_pow_sub_one_of_dvd
added
theorem
Polynomial.X_pow_sub_one_mul_prod_cyclotomic_eq_X_pow_sub_one_of_dvd
added
theorem
Polynomial.X_pow_sub_one_splits
added
theorem
Polynomial.coprime_of_root_cyclotomic
added
theorem
Polynomial.cyclotomic'.monic
added
def
Polynomial.cyclotomic'
added
theorem
Polynomial.cyclotomic'_eq_X_pow_sub_one_div
added
theorem
Polynomial.cyclotomic'_ne_zero
added
theorem
Polynomial.cyclotomic'_one
added
theorem
Polynomial.cyclotomic'_splits
added
theorem
Polynomial.cyclotomic'_two
added
theorem
Polynomial.cyclotomic'_zero
added
theorem
Polynomial.cyclotomic.dvd_X_pow_sub_one
added
theorem
Polynomial.cyclotomic.eval_apply
added
theorem
Polynomial.cyclotomic.isPrimitive
added
theorem
Polynomial.cyclotomic.monic
added
def
Polynomial.cyclotomic
added
theorem
Polynomial.cyclotomic_coeff_zero
added
theorem
Polynomial.cyclotomic_dvd_geom_sum_of_dvd
added
theorem
Polynomial.cyclotomic_eq_X_pow_sub_one_div
added
theorem
Polynomial.cyclotomic_eq_prod_X_pow_sub_one_pow_moebius
added
theorem
Polynomial.cyclotomic_eq_prod_X_sub_primitiveRoots
added
theorem
Polynomial.cyclotomic_ne_zero
added
theorem
Polynomial.cyclotomic_one
added
theorem
Polynomial.cyclotomic_prime
added
theorem
Polynomial.cyclotomic_prime_mul_X_sub_one
added
theorem
Polynomial.cyclotomic_prime_pow_eq_geom_sum
added
theorem
Polynomial.cyclotomic_prime_pow_mul_X_pow_sub_one
added
theorem
Polynomial.cyclotomic_three
added
theorem
Polynomial.cyclotomic_two
added
theorem
Polynomial.cyclotomic_zero
added
theorem
Polynomial.degree_cyclotomic'
added
theorem
Polynomial.degree_cyclotomic
added
theorem
Polynomial.degree_cyclotomic_pos
added
theorem
Polynomial.eq_cyclotomic_iff
added
theorem
Polynomial.int_coeff_of_cyclotomic'
added
theorem
Polynomial.int_cyclotomic_rw
added
theorem
Polynomial.int_cyclotomic_spec
added
theorem
Polynomial.int_cyclotomic_unique
added
theorem
Polynomial.map_cyclotomic
added
theorem
Polynomial.map_cyclotomic_int
added
theorem
Polynomial.natDegree_cyclotomic'
added
theorem
Polynomial.natDegree_cyclotomic
added
theorem
Polynomial.orderOf_root_cyclotomic_dvd
added
theorem
Polynomial.prod_cyclotomic'_eq_X_pow_sub_one
added
theorem
Polynomial.prod_cyclotomic_eq_X_pow_sub_one
added
theorem
Polynomial.prod_cyclotomic_eq_geom_sum
added
theorem
Polynomial.roots_of_cyclotomic
added
theorem
Polynomial.unique_int_coeff_of_cycl