Theorems · Theorem · commutative algebra
HahnSeries.inv_single
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommGroup Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedAddMonoid Γ]
[inst_3 : Field R] (a : Γ) (r : R), ((HahnSeries.single a) r)⁻¹ = (HahnSeries.single (-a)) r⁻¹- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- MulZeroClass.mul_zeroproof · cited by 2,091
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- MulZeroClass.zero_mulproof · cited by 1,625
- map_zeroproof · cited by 1,614
- eq_or_neproof · cited by 1,117
- sub_selfproof · cited by 996
- sub_zeroproof · cited by 938
Cited by3
Results whose statement or proof uses this declaration.
- LaurentSeries.valuation_single_zpowproof · cited by 3
- HahnSeries.single_div_singleproof · cited by 0
- RatFunc.single_zpowproof · cited by 0