Theorems · Theorem · commutative algebra
HahnSeries.val_inv_toOrderTopSubOnePos_coe
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : CommRing R] {x : HahnSeries Γ R} (h : 0 < (x - 1).orderTop),
↑(↑(HahnSeries.toOrderTopSubOnePos h))⁻¹ = ⋯.unit.inv- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- WithTopstatement · cited by 3,754
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- IsUnit.unitstatement · cited by 252
- HahnSeries.orderTopstatement and proof · cited by 103
- Units.invstatement · cited by 35
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