Theorems · Theorem · commutative algebra
MvPowerSeries.monomial_def
∀ {σ : Type u_1} {R : Type u_2} [inst : Semiring R] [inst_1 : DecidableEq σ] (n : σ →₀ ℕ),
MvPowerSeries.monomial n = LinearMap.single R (fun x => R) n- Defined in
- Mathlib.RingTheory.MvPowerSeries.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringDecidableEq
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.
- Moduleproof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidproof · cited by 12,281
- LinearMapstatement and proof · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.monomialstatement · cited by 69
- LinearMap.singlestatement and proof · cited by 62
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.coeff_monomialproof · cited by 17
- MvPowerSeries.coeff_monomial_sameproof · cited by 13
- MvPowerSeries.coeff_monomial_neproof · cited by 3