Theorems · Theorem · commutative algebra
Polynomial.coe_sub
∀ {R : Type u_1} [inst : CommRing R] (p q : Polynomial R), ↑(p - q) = ↑p - ↑q- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- PowerSeriesstatement · cited by 797
- Polynomial.toPowerSeriesstatement · cited by 96
- RingHom.map_subproof · cited by 15
- Polynomial.coeToPowerSeries.ringHomproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- PowerSeries.IsWeierstrassDivisorAt.eq_of_mul_add_eq_mul_addproof · cited by 7
- PowerSeries.IsWeierstrassFactorization.isWeierstrassDivisionproof · cited by 1
- Polynomial.hilbertPoly_mul_one_sub_succproof · cited by 1
- PowerSeries.IsWeierstrassDivision.isWeierstrassFactorizationproof · cited by 1