Theorems · Theorem · commutative algebra
PowerSeries.coeff_monomial_same
∀ {R : Type u_1} [inst : Semiring R] (n : ℕ) (a : R), (PowerSeries.coeff n) ((PowerSeries.monomial n) a) = a- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Finsupp.singleproof · cited by 943
- PowerSeriesstatement · cited by 797
- PowerSeries.coeffstatement · cited by 324
- PowerSeries.monomialstatement · cited by 29
- MvPowerSeries.coeff_monomial_sameproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.order_monomialproof · cited by 2
- PowerSeries.coeff_comp_monomialproof · cited by 0