Theorems · Theorem · commutative algebra
Polynomial.IsWeaklyEisensteinAt.mul
∀ {R : Type u} [inst : CommSemiring R] {𝓟 : Ideal R} {f f' : Polynomial R},
f.IsWeaklyEisensteinAt 𝓟 → f'.IsWeaklyEisensteinAt 𝓟 → (f * f').IsWeaklyEisensteinAt 𝓟- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Idealstatement and proof · cited by 4,748
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.coeffproof · cited by 1,045
- LT.lt.trans_leproof · cited by 678
- Nat.cast_addproof · cited by 586
- neg_neg_of_posproof · cited by 227
- Finset.HasAntidiagonal.antidiagonalproof · cited by 218
- lt_or_geproof · cited by 182
- sub_eq_zero_of_eqproof · cited by 154
- Ideal.mul_mem_leftproof · cited by 107
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.IsDistinguishedAt.mulproof · cited by 1