Theorems · Theorem · field theory
Polynomial.reflect_sub
∀ {R : Type u_1} [inst : Ring R] (f g : Polynomial R) (N : ℕ),
Polynomial.reflect N (f - g) = Polynomial.reflect N f - Polynomial.reflect N g- Defined in
- Mathlib.Algebra.Polynomial.Reverse
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 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.
Cites6
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_eq_add_negproof · cited by 1,023
- Polynomial.reflectstatement and proof · cited by 31
- Polynomial.reflect_addproof · cited by 5
- Polynomial.reflect_negproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PrimeSpectrum.isIntegral_of_isClosedMap_comap_mapRingHomproof · cited by 1
- Matrix.isNilpotent_charpoly_sub_pow_of_isNilpotentproof · cited by 1