Theorems · Theorem · field theory
Polynomial.smeval_at_zero
∀ (R : Type u_1) [inst : Semiring R] (p : Polynomial R) {S : Type u_2} [inst_1 : NonAssocSemiring S]
[inst_2 : Module R S] [inst_3 : Pow S ℕ] [NatPowAssoc S], p.smeval 0 = p.coeff 0 • 1- Defined in
- Mathlib.Algebra.Polynomial.Smeval
- Cited by
- 0 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- MulZeroClass.mul_zeroproof · cited by 2,091
- Polynomial.coeffstatement and proof · cited by 1,045
- NonAssocSemiringstatement and proof · cited by 805
- zero_smulproof · cited by 716
- smul_zeroproof · cited by 665
- Polynomial.monomialproof · cited by 256
- add_smulproof · cited by 204
- Polynomial.coeff_addproof · cited by 77
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