Theorems · Theorem · field theory
RatFunc.liftRingHom_X
∀ {K : Type u} [inst : CommRing K] [inst_1 : IsDomain K] {L : Type u_1} [inst_2 : Field L] (φ : Polynomial K →+* L)
(hφ : nonZeroDivisors (Polynomial K) ≤ Submonoid.comap φ (nonZeroDivisors L)),
(RatFunc.liftRingHom φ hφ) RatFunc.X = φ Polynomial.X- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Submonoidstatement · cited by 3,086
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Xstatement and proof · cited by 1,639
- nonZeroDivisorsstatement and proof · cited by 895
- RatFuncstatement · cited by 301
- Submonoid.comapstatement and proof · cited by 179
- RatFunc.Xstatement · cited by 58
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.