Theorems · Definition · commutative algebra
Polynomial.coeToPowerSeries.ringHom
{R : Type u_1} → [inst : Semiring R] → Polynomial R →+* PowerSeries RThe coercion from polynomials to power series as a ring homomorphism.
- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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.
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- PowerSeriesstatement · cited by 797
- Polynomial.toPowerSeriesproof · cited by 96
- Polynomial.coe_addproof · cited by 4
- Polynomial.coe_mulproof · cited by 3
- Polynomial.coe_oneproof · cited by 3
- Polynomial.coe_zeroproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Polynomial.coe_powproof · cited by 5
- Polynomial.coe_subproof · cited by 4
- Polynomial.coeToPowerSeries.algHomproof · cited by 3
- Polynomial.coeToPowerSeries.ringHom_applystatement · cited by 1
- Polynomial.coe_negproof · cited by 0
- Polynomial.eval₂_C_X_eq_coeproof · cited by 0