Theorems · Theorem · field theory
Polynomial.modByMonic_one
∀ {R : Type u} [inst : Ring R] (p : Polynomial R), p %ₘ 1 = 0- Defined in
- Mathlib.Algebra.Polynomial.Div
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 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.
Cites7
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.Monicproof · cited by 461
- Polynomial.modByMonicstatement · cited by 82
- one_dvdproof · cited by 37
- Polynomial.modByMonic_eq_zero_iff_dvdproof · cited by 15
- Polynomial.monic_oneproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.divByMonic_oneproof · cited by 0