Theorems · Theorem · field theory
Polynomial.eval_one
∀ {R : Type u} [inst : Semiring R] {x : R}, Polynomial.eval x 1 = 1- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 86 results in Mathlib
- Foundations
- Depth 104 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.
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
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement · cited by 5,681
- Polynomial.evalstatement · cited by 796
- Polynomial.eval₂_oneproof · cited by 20
Cited by86
Results whose statement or proof uses this declaration.
- bernstein_applyproof · cited by 4
- descPochhammer_eval_eq_ascPochhammerproof · cited by 4
- Polynomial.not_isUnit_X_sub_Cproof · cited by 4
- Polynomial.Chebyshev.T_eval_negproof · cited by 4
- Lagrange.sum_basisproof · cited by 3
- Polynomial.Chebyshev.U_complex_cosproof · cited by 3
- Polynomial.Chebyshev.integral_eval_T_real_measureT_zeroproof · cited by 3
- descPochhammer_eval_eq_descFactorialproof · cited by 3
- Polynomial.cyclotomic_coeff_zeroproof · cited by 3
- ascPochhammer_eval_eq_zero_iffproof · cited by 3
- ascPochhammer_eval_zeroproof · cited by 3
- ascPochhammer_posproof · cited by 3