Theorems · Theorem · field theory
Polynomial.Sequence.natDegree_eq
∀ {R : Type u_1} [inst : Semiring R] (S : Polynomial.Sequence R) (i : ℕ), (↑S i).natDegree = iS i has natDegree i.
- Defined in
- Mathlib.Algebra.Polynomial.Sequence
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Polynomial.natDegreestatement · cited by 1,105
- Polynomial.natDegree_eq_of_degree_eq_someproof · cited by 42
- Polynomial.Sequencestatement and proof · cited by 19
- Polynomial.Sequence.elems'statement · cited by 15
- Polynomial.Sequence.degree_eqproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.Sequence.span_degreeLTproof · cited by 3
- Polynomial.Sequence.natDegree_strictMonoproof · cited by 0
- Polynomial.Sequence.basis_natDegree_strictMonoproof · cited by 0