Theorems · Theorem · field theory
RatFunc.monic_denom
∀ {K : Type u} [inst : Field K] (x : RatFunc K), x.denom.Monic- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 129 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.
Cites14
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
- Polynomialproof · cited by 5,681
- mul_commproof · cited by 2,262
- Polynomial.Cproof · cited by 1,598
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.Monicstatement and proof · cited by 461
- RatFuncstatement and proof · cited by 301
- GCDMonoid.gcdproof · cited by 143
- RatFunc.denomstatement · cited by 59
- Polynomial.monic_mul_leadingCoeff_invproof · cited by 19
- RatFunc.induction_onproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.denom_ne_zeroproof · cited by 20