Theorems · Theorem · field theory
Polynomial.degree_sub_C
∀ {R : Type u} {a : R} [inst : Ring R] {p : Polynomial R}, 0 < p.degree → (p - Polynomial.C a).degree = p.degree- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 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.
Cites10
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
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- WithBotstatement and proof · cited by 1,498
- sub_eq_add_negproof · cited by 1,023
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.C_negproof · cited by 25
- Polynomial.degree_add_Cproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsAlgClosed.eval_surjectiveproof · cited by 1