Theorems · Theorem · field theory
RatFunc.algebraMap_C
∀ {K : Type u} [inst : CommRing K] [inst_1 : IsDomain K] (a : K),
(algebraMap (Polynomial K) (RatFunc K)) (Polynomial.C a) = RatFunc.C a- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 10,189
- Polynomialstatement · cited by 5,681
- Algebra.algebraMapstatement · cited by 4,706
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Cstatement · cited by 1,598
- RatFuncstatement · cited by 301
- RatFunc.Cstatement · cited by 33
Cited by4
Results whose statement or proof uses this declaration.
- RatFunc.eq_C_iffproof · cited by 2
- RatFunc.irreducible_min_polynomial_valuation_lt_one_and_ne_zeroproof · cited by 1
- RatFunc.laurent_Cproof · cited by 0
- RatFunc.laurent_Xproof · cited by 0