Theorems · Theorem · field theory
RatFunc.associated_num_inv
∀ {K : Type u} [inst : Field K] {x : RatFunc K}, x ≠ 0 → Associated x⁻¹.num x.denom- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 135 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.
Cites11
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 and proof · cited by 5,681
- inv_invproof · cited by 494
- RatFuncstatement and proof · cited by 301
- Associatedstatement · cited by 296
- inv_ne_zeroproof · cited by 99
- RatFunc.denomstatement and proof · cited by 59
- RatFunc.numstatement and proof · cited by 49
- associated_of_dvd_dvdproof · cited by 28
- RatFunc.num_inv_dvdproof · cited by 1
- RatFunc.denom_inv_dvdproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.associated_denom_invproof · cited by 0