Theorems · Theorem · field theory
Polynomial.smeval_at_natCast
∀ {S : Type u_2} [inst : NonAssocSemiring S] [inst_1 : Pow S ℕ] [NatPowAssoc S] (q : Polynomial ℕ) (n : ℕ),
q.smeval ↑n = ↑(q.smeval n)- Defined in
- Mathlib.Algebra.Polynomial.Smeval
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Polynomialstatement and proof · cited by 5,681
- NonAssocSemiringstatement and proof · cited by 805
- Nat.cast_addproof · cited by 586
- nsmul_eq_mulproof · cited by 369
- smul_eq_mulproof · cited by 357
- Nat.cast_mulproof · cited by 309
- Polynomial.monomialproof · cited by 256
- Polynomial.smevalstatement and proof · cited by 65
- NatPowAssocstatement and proof · cited by 53
- Polynomial.induction_on'proof · cited by 50
- Polynomial.smeval_addproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- Ring.smeval_ascPochhammer_nat_castproof · cited by 0