Theorems · Theorem · commutative algebra
HahnSeries.addOppositeEquiv_symm_orderTop
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : AddMonoid R] (x : (HahnSeries Γ R)ᵃᵒᵖ),
(HahnSeries.addOppositeEquiv.symm x).orderTop = (AddOpposite.unop x).orderTop- Defined in
- Mathlib.RingTheory.HahnSeries.Addition
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 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.
Cites13
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
- PartialOrderstatement and proof · cited by 6,410
- WithTopstatement and proof · cited by 3,754
- AddMonoidstatement and proof · cited by 2,864
- AddEquivstatement · cited by 1,087
- AddEquiv.symmstatement and proof · cited by 530
- HahnSeriesstatement and proof · cited by 528
- AddOppositestatement and proof · cited by 452
- AddOpposite.unopstatement and proof · cited by 125
- HahnSeries.orderTopstatement and proof · cited by 103
- AddEquiv.apply_symm_applyproof · cited by 37
- HahnSeries.addOppositeEquivstatement and proof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- HahnSeries.leadingCoeff_add_eq_rightproof · cited by 0
- HahnSeries.orderTop_add_eq_rightproof · cited by 0