Theorems · Theorem · commutative algebra
MvPowerSeries.killCompl_monomial_eq_zero
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] {e : σ ↪ τ} {x : τ →₀ ℕ} (r : R),
x ∉ Set.range (Finsupp.embDomain e) → (MvPowerSeries.killCompl e) ((MvPowerSeries.monomial x) r) = 0- Defined in
- Mathlib.RingTheory.MvPowerSeries.Rename
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Set.rangestatement and proof · cited by 4,705
- AlgHomstatement · cited by 3,236
- Function.Embeddingstatement and proof · cited by 988
- MvPowerSeriesstatement · cited by 659
- MvPowerSeries.monomialstatement · cited by 69
- Finsupp.embDomainstatement and proof · cited by 69
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.killCompl_X_eq_zeroproof · cited by 0