Theorems · Definition · field theory
RatFunc.denom
{K : Type u} → [inst : Field K] → RatFunc K → Polynomial KRatFunc.denom is the denominator of a rational function,
normalized such that it is monic.
- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 59 results in Mathlib
- Foundations
- Depth 126 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.
Cites4
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 · cited by 5,681
- RatFuncstatement and proof · cited by 301
- RatFunc.numDenomproof · cited by 1
Cited by62
Results whose statement or proof uses this declaration.
- RatFunc.denom_ne_zerostatement · cited by 20
- RatFunc.num_div_denomstatement and proof · cited by 18
- RatFunc.intDegreeproof · cited by 18
- RatFunc.minpolyXproof · cited by 12
- RatFunc.evalproof · cited by 9
- RatFunc.denom_divstatement · cited by 7
- RatFunc.denom_Cstatement · cited by 6
- RatFunc.denom_algebraMapstatement and proof · cited by 4
- RatFunc.num_denom_addstatement and proof · cited by 3
- RatFunc.num_mul_eq_mul_denom_iffstatement and proof · cited by 3
- RatFunc.denom_dvdstatement and proof · cited by 3
- RatFunc.denom_zerostatement and proof · cited by 3