Theorems · Theorem · field theory
Polynomial.irreducible_C_mul_X_add_C
∀ {R : Type u} [inst : CommRing R] [IsDomain R] {a b : R},
a ≠ 0 → IsRelPrime a b → Irreducible (Polynomial.C a * Polynomial.X + Polynomial.C b)- Defined in
- Mathlib.Algebra.Polynomial.RingDivision
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- IsDomainstatement and proof · cited by 2,196
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
Cited by2
Results whose statement or proof uses this declaration.
- RatFunc.irreducible_minpolyX'proof · cited by 1
- MvPolynomial.irreducible_mul_X_addproof · cited by 1