Theorems · Theorem · field theory
Polynomial.coeff_pow_mul_natDegree
∀ {R : Type u} [inst : Semiring R] (p : Polynomial R) (n : ℕ), (p ^ n).coeff (n * p.natDegree) = p.leadingCoeff ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- MulZeroClass.zero_mulproof · cited by 1,625
- Polynomial.natDegreestatement and proof · cited by 1,105
- pow_zeroproof · cited by 1,094
- Polynomial.coeffstatement and proof · cited by 1,045
- Polynomial.leadingCoeffstatement and proof · cited by 498
- pow_succproof · cited by 374
- lt_of_le_of_neproof · cited by 230
- Polynomial.leadingCoeff_eq_zeroproof · cited by 55
- Polynomial.coeff_eq_zero_of_natDegree_ltproof · cited by 55
- add_lt_add_leftproof · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.coeff_comp_degree_mul_degreeproof · cited by 7