Theorems · Definition · field theory
RatFunc.C
{K : Type u} → [inst : CommRing K] → [inst_1 : IsDomain K] → K →+* RatFunc KRatFunc.C a is the constant rational function a.
- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- IsDomainstatement and proof · cited by 2,196
- RatFuncstatement and proof · cited by 301
Cited by33
Results whose statement or proof uses this declaration.
- RatFunc.denom_Cstatement · cited by 6
- RatFunc.num_Cstatement · cited by 6
- RatFunc.algebraMap_monomialstatement and proof · cited by 4
- RatFunc.algebraMap_Cstatement · cited by 4
- RatFunc.transcendental_of_ne_Cstatement and proof · cited by 3
- RatFunc.eq_C_of_minpolyX_coeff_eq_zerostatement and proof · cited by 3
- RatFunc.Luroth.generator_ne_Cstatement and proof · cited by 3
- RatFunc.isAlgebraic_adjoin_simple_Xstatement and proof · cited by 3
- RatFunc.eq_C_iffstatement and proof · cited by 2
- RatFunc.minpolyX_eq_zero_iffstatement and proof · cited by 2
- RatFunc.natDegree_minpolyXproof · cited by 2
- RatFunc.C_minpolyXstatement and proof · cited by 2