Theorems · Theorem · commutative algebra
MvPowerSeries.X_mem_nonzeroDivisors
∀ {σ : Type u_1} {R : Type u_2} [inst : Semiring R] {i : σ}, MvPowerSeries.X i ∈ nonZeroDivisors (MvPowerSeries σ R)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Submonoidstatement · cited by 3,086
- nonZeroDivisorsstatement and proof · cited by 895
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.Xstatement · cited by 98
- Submonoid.one_memproof · cited by 28
- MvPowerSeries.monomial_mem_nonzeroDivisorsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ringKrullDim_succ_le_ringKrullDim_powerseriesproof · cited by 0