Theorems · Theorem · commutative algebra
HahnSeries.isUnit_iff
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommGroup Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedAddMonoid Γ]
[inst_3 : CommRing R] [IsDomain R] {x : HahnSeries Γ R}, IsUnit x ↔ IsUnit x.leadingCoeff- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Unitsproof · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- Units.valproof · cited by 1,966
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- IsUnitstatement and proof · cited by 1,602
- HahnSeriesstatement and proof · cited by 528
- neg_add_cancelproof · cited by 256
- HahnSeries.coeffproof · cited by 235
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