Theorems · Theorem · field theory
Polynomial.zero_divByMonic
∀ {R : Type u} [inst : Ring R] (p : Polynomial R), 0 /ₘ p = 0- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Polynomial.divByMonicstatement · cited by 77
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.natDegree_divByMonicproof · cited by 5
- Polynomial.degree_divByMonic_leproof · cited by 1
- Polynomial.eval_divByMonic_eq_trailingCoeff_compproof · cited by 1
- minpolyDiv_eq_zeroproof · cited by 1
- Polynomial.leadingCoeff_divByMonic_X_sub_Cproof · cited by 0