Theorems · Theorem · commutative algebra
HahnSeries.order_neg
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : AddGroup R] [inst_2 : Zero Γ] {f : HahnSeries Γ R},
(-f).order = f.order- Defined in
- Mathlib.RingTheory.HahnSeries.Addition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddGroupZero
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- AddGroupstatement and proof · cited by 4,410
- neg_zeroproof · cited by 542
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.orderstatement and proof · cited by 52
- Set.IsWF.minproof · cited by 47
- HahnSeries.isWF_supportproof · cited by 33
- HahnSeries.support_negproof · cited by 4
- Set.IsWF.min.congr_simpproof · cited by 3
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