Theorems · Theorem · field theory
RatFunc.num_div_dvd
∀ {K : Type u} [inst : Field K] (p : Polynomial K) {q : Polynomial K},
q ≠ 0 → ((algebraMap (Polynomial K) (RatFunc K)) p / (algebraMap (Polynomial K) (RatFunc K)) q).num ∣ p- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 131 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement · cited by 4,706
- RatFuncstatement · cited by 301
- RatFunc.numstatement · cited by 49
- GCDMonoid.gcd_dvd_leftproof · cited by 36
- RatFunc.num_divproof · cited by 6
- right_div_gcd_ne_zeroproof · cited by 5
- Polynomial.C_mul_dvdproof · cited by 4
- EuclideanDomain.div_dvd_of_dvdproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- RatFunc.num_dvdproof · cited by 2
- RatFunc.num_div_dvd'proof · cited by 0