Theorems · Theorem · field theory
RatFunc.minpolyX_eq_zero_iff
∀ {K : Type u_1} [inst : Field K] (f : RatFunc K), f.minpolyX ↥K⟮f⟯ = 0 ↔ ∃ c, f = RatFunc.C c- Cited by
- 2 results in Mathlib
- Foundations
- Depth 134 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.
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
- Setstatement · cited by 53,352
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- IntermediateFieldstatement · cited by 988
- IntermediateField.adjoinstatement and proof · cited by 382
- RatFuncstatement and proof · cited by 301
- RatFunc.denomproof · cited by 59
- RatFunc.Cstatement and proof · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- RatFunc.isAlgebraic_adjoin_simple_Xproof · cited by 3
- RatFunc.finrank_eq_max_natDegreeproof · cited by 1