Theorems · Theorem · field theory
Polynomial.prime_X
∀ {R : Type u} [inst : CommRing R] [IsDomain R], Prime Polynomial.X- Defined in
- Mathlib.Algebra.Polynomial.RingDivision
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- IsDomainstatement and proof · cited by 2,196
- Polynomial.Xstatement and proof · cited by 1,639
- map_zeroproof · cited by 1,614
- Polynomial.Cproof · cited by 1,598
- sub_zeroproof · cited by 938
- CommMonoidWithZeroproof · cited by 913
- Primestatement and proof · cited by 277
- Polynomial.prime_X_sub_Cproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.irreducible_Xproof · cited by 5
- PowerSeries.intValuation_eq_of_coeproof · cited by 2
- Algebra.exists_etale_isIdempotentElem_forall_liesOver_eq_auxproof · cited by 1
- Polynomial.coeff_mem_radical_span_coeff_of_dvdproof · cited by 0