Theorems · Theorem · field theory
Polynomial.ofNat_comp
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R} (n : ℕ) [inst_1 : n.AtLeastTwo], (OfNat.ofNat n).comp p = ↑n- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringNat.AtLeastTwo
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.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Nat.AtLeastTwostatement and proof · cited by 405
- Polynomial.compstatement · cited by 193
- Polynomial.natCast_compproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.Chebyshev.S_eq_U_comp_half_mul_Xproof · cited by 3
- Polynomial.Chebyshev.C_eq_two_mul_T_comp_half_mul_Xproof · cited by 3
- Polynomial.Chebyshev.C_comp_two_mul_Xproof · cited by 2
- Polynomial.Chebyshev.T_mulproof · cited by 1
- Polynomial.Chebyshev.C_mulproof · cited by 0