Theorems · Theorem · field theory
RatFunc.num_C
∀ {K : Type u} [inst : Field K] (c : K), (RatFunc.C c).num = Polynomial.C c- Defined in
- Mathlib.FieldTheory.RatFunc.AsPolynomial
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 132 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.
Cites10
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
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- Polynomial.Cstatement and proof · cited by 1,598
- RatFuncstatement · cited by 301
- RatFunc.numstatement · cited by 49
- RatFunc.Cstatement · cited by 33
- RatFunc.num_algebraMapproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- RatFunc.C_minpolyXproof · cited by 2
- RatFunc.natDegree_minpolyXproof · cited by 2
- RatFunc.eq_C_iffproof · cited by 2
- RatFunc.intDegree_Cproof · cited by 1
- RatFunc.finrank_eq_max_natDegreeproof · cited by 1
- RatFunc.eval_Cproof · cited by 0