Theorems · Theorem · field theory
Polynomial.dvd_modByMonic_sub
∀ {R : Type u} [inst : Ring R] (p q : Polynomial R), q ∣ p %ₘ q - p- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 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.
Cites9
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
- sub_selfproof · cited by 996
- Polynomial.Monicproof · cited by 461
- Polynomial.modByMonicstatement · cited by 82
- Polynomial.divByMonicproof · cited by 77
- sub_sub_cancel_leftproof · cited by 28
- Polynomial.modByMonic_eq_sub_mul_divproof · cited by 13
- Polynomial.modByMonic_eq_of_not_monicproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.dvd_modByMonic_iff_dvdproof · cited by 0