Theorems · Definition · field theory
RatFunc.numDenom
{K : Type u} → [inst : Field K] → RatFunc K → Polynomial K × Polynomial KRatFunc.numDenom are numerator and denominator of a rational function over a field,
normalized such that the denominator is monic.
- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 125 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cproof · cited by 1,598
- Polynomial.leadingCoeffproof · cited by 498
- RatFuncstatement and proof · cited by 301
- GCDMonoid.gcdproof · cited by 143
- RatFunc.liftOn'proof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- RatFunc.denomproof · cited by 59
- RatFunc.numproof · cited by 49
- RatFunc.numDenom_divstatement · cited by 1