Theorems · Theorem · field theory
Polynomial.div_C_mul
∀ {R : Type u} {a : R} [inst : Field R] {p q : Polynomial R}, p / (Polynomial.C a * q) = Polynomial.C a⁻¹ * (p / q)- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 122 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringproof · cited by 13,802
- RingHomstatement · cited by 10,189
- Ringproof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- MulZeroClass.zero_mulproof · cited by 1,625
- map_zeroproof · cited by 1,614
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.leadingCoeffproof · cited by 498
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.div_Cproof · cited by 1