Theorems · Theorem · commutative algebra
MvPowerSeries.truncFinset_monomial
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] {s : Finset (σ →₀ ℕ)} {x : σ →₀ ℕ} (r : R),
x ∈ s → (MvPowerSeries.truncFinset R s) ((MvPowerSeries.monomial x) r) = (MvPolynomial.monomial x) r- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Finsetstatement and proof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement · cited by 659
- MvPolynomial.monomialstatement and proof · cited by 253
- MvPowerSeries.monomialstatement and proof · cited by 69
- MvPolynomial.extproof · cited by 61
- MvPowerSeries.truncFinsetstatement and proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.truncFinset_Cproof · cited by 3