Theorems · Theorem · field theory
RatFunc.aeval_X_left_eq_algebraMap
∀ {K : Type u} [inst : CommRing K] [inst_1 : IsDomain K] (p : Polynomial K),
(Polynomial.aeval RatFunc.X) p = (algebraMap (Polynomial K) (RatFunc K)) p- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement and proof · cited by 4,706
- AlgHomstatement · cited by 3,236
- IsDomainstatement and proof · cited by 2,196
- map_addproof · cited by 964
- Polynomial.aevalstatement and proof · cited by 615
- RatFuncstatement and proof · cited by 301
- RatFunc.Xstatement and proof · cited by 58
- Polynomial.induction_on'proof · cited by 50
Cited by2
Results whose statement or proof uses this declaration.
- RatFunc.minpolyX_aeval_Xproof · cited by 2
- RatFunc.adjoin_Xproof · cited by 1