Theorems · Theorem · commutative algebra
Polynomial.one_scaleRoots
∀ {R : Type u_1} [inst : Semiring R] (r : R), Polynomial.scaleRoots 1 r = 1- Defined in
- Mathlib.RingTheory.Polynomial.ScaleRoots
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 105 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.
Cites10
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
- Polynomialstatement · cited by 5,681
- mul_oneproof · cited by 3,885
- pow_zeroproof · cited by 1,094
- Polynomial.coeffproof · cited by 1,045
- Polynomial.extproof · cited by 118
- zero_tsubproof · cited by 100
- Polynomial.scaleRootsstatement · cited by 56
- Polynomial.natDegree_oneproof · cited by 43
- Polynomial.coeff_scaleRootsproof · cited by 20
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.pow_scaleRoots'proof · cited by 2
- Polynomial.Splits.scaleRootsproof · cited by 1
- Polynomial.isCoprime_scaleRootsproof · cited by 1
- Polynomial.pow_scaleRoots_of_isReducedproof · cited by 0