Theorems · Theorem · commutative algebra
Polynomial.coe_monomial
∀ {R : Type u_1} [inst : Semiring R] (n : ℕ) (a : R), ↑((Polynomial.monomial n) a) = (PowerSeries.monomial n) a- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 99 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.
Cites13
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Polynomialstatement · cited by 5,681
- PowerSeriesstatement · cited by 797
- Polynomial.monomialstatement and proof · cited by 256
- Polynomial.toPowerSeriesstatement · cited by 96
- PowerSeries.extproof · cited by 69
- Polynomial.coeff_monomialproof · cited by 40
- PowerSeries.monomialstatement · cited by 29
- Polynomial.coeff_coeproof · cited by 25
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.coe_Xproof · cited by 12
- Polynomial.coe_Cproof · cited by 3
- MvPolynomial.toMvPowerSeries_pUnitAlgEquivproof · cited by 3
- Polynomial.coe_oneproof · cited by 3
- PowerSeries.eq_of_le_of_X_notMem_of_fg_of_isPrimeproof · cited by 1