Theorems · Theorem · field theory
Polynomial.natCast_comp
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R} {n : ℕ}, (↑n).comp p = ↑n- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 8 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cproof · cited by 1,598
- Polynomial.compstatement and proof · cited by 193
- Polynomial.C_eq_natCastproof · cited by 25
- Polynomial.C_compproof · cited by 18
Cited by8
Results whose statement or proof uses this declaration.
- descPochhammer_succ_rightproof · cited by 14
- ascPochhammer_succ_rightproof · cited by 11
- Polynomial.ofNat_compproof · cited by 5
- Polynomial.bernoulli_comp_one_sub_Xproof · cited by 2
- bernsteinPolynomial.flipproof · cited by 1
- Polynomial.intCast_compproof · cited by 0
- descPochhammer_succ_comp_X_sub_oneproof · cited by 0
- ascPochhammer_succ_comp_X_add_oneproof · cited by 0