Theorems · Theorem · commutative algebra
HahnSeries.addOppositeEquiv_orderTop
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : AddMonoid R] (x : HahnSeries Γ Rᵃᵒᵖ),
(AddOpposite.unop (HahnSeries.addOppositeEquiv x)).orderTop = x.orderTop- Defined in
- Mathlib.RingTheory.HahnSeries.Addition
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Top.topproof · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- WithTopstatement · cited by 3,754
- AddMonoidstatement and proof · cited by 2,864
- WithTop.someproof · cited by 1,128
- AddEquivstatement · cited by 1,087
- HahnSeriesstatement and proof · cited by 528
- AddOppositestatement and proof · cited by 452
- HahnSeries.coeffproof · cited by 235
- AddOpposite.unopstatement and proof · cited by 125
- HahnSeries.orderTopstatement · cited by 103
Cited by2
Results whose statement or proof uses this declaration.
- HahnSeries.addOppositeEquiv_symm_orderTopproof · cited by 2
- HahnSeries.addOppositeEquiv_leadingCoeffproof · cited by 1