Theorems · Theorem · commutative algebra
Polynomial.int_leadingCoeff_eq
∀ {K : Type u_1} [inst : Field K] (R : Subring K) (P : Polynomial K) (hP : ∀ (n : ℕ), P.coeff n ∈ R),
↑(Polynomial.int R P hP).leadingCoeff = P.leadingCoeff- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.coeffstatement and proof · cited by 1,045
- Subringstatement and proof · cited by 602
- Polynomial.leadingCoeffstatement · cited by 498
- Polynomial.intstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.int_monic_iffproof · cited by 0