Theorems · Theorem · field theory
Polynomial.eval_pow
∀ {R : Type u} [inst : CommSemiring R] {p : Polynomial R} {x : R} (n : ℕ),
Polynomial.eval x (p ^ n) = Polynomial.eval x p ^ n- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 75 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Polynomial.evalstatement · cited by 796
- Polynomial.eval₂_powproof · cited by 4
Cited by75
Results whose statement or proof uses this declaration.
- Polynomial.eval_compproof · cited by 29
- Polynomial.mem_nthRootsproof · cited by 9
- WeierstrassCurve.Affine.evalEval_polynomialXproof · cited by 5
- Polynomial.eval_geom_sumproof · cited by 5
- bernstein_applyproof · cited by 4
- WeierstrassCurve.Affine.evalEval_polynomialproof · cited by 4
- Polynomial.eval_one_cyclotomic_prime_powproof · cited by 4
- Matrix.GeneralLinearGroup.IsParabolic.smul_eq_self_iffproof · cited by 3
- Polynomial.cyclotomic_coeff_zeroproof · cited by 3
- FiniteField.orderOf_frobeniusAlgHomproof · cited by 3
- Polynomial.expand_evalproof · cited by 2
- Module.End.aeval_apply_of_hasEigenvectorproof · cited by 2