Theorems · Theorem · commutative algebra
PowerSeries.hasUnitMulPowIrreducibleFactorization
∀ {k : Type u_2} [inst : Field k], IsDiscreteValuationRing.HasUnitMulPowIrreducibleFactorization (PowerSeries k)- Defined in
- Mathlib.RingTheory.PowerSeries.Inverse
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.Xproof · cited by 183
- ENat.toNatproof · cited by 143
- PowerSeries.orderproof · cited by 92
- IsDiscreteValuationRing.HasUnitMulPowIrreducibleFactorizationstatement · cited by 5
- PowerSeries.Unit_of_divided_by_X_pow_orderproof · cited by 4
- PowerSeries.X_pow_order_mul_divXPowOrderproof · cited by 3
- PowerSeries.Unit_of_divided_by_X_pow_order_nonzeroproof · cited by 2
- PowerSeries.X_irreducibleproof · cited by 2
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