Theorems · Theorem · commutative algebra
HahnSeries.orderTop_embDomain
∀ {Γ' : Type u_2} {R : Type u_3} [inst : Zero R] [inst_1 : PartialOrder Γ'] {Γ : Type u_5} [inst_2 : LinearOrder Γ]
{f : Γ ↪o Γ'} {x : HahnSeries Γ R}, (HahnSeries.embDomain f x).orderTop = WithTop.map (⇑f) x.orderTop- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroPartialOrderLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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
- LinearOrderstatement and proof · cited by 8,572
- PartialOrderstatement and proof · cited by 6,410
- WithTopstatement and proof · cited by 3,754
- eq_or_neproof · cited by 1,117
- OrderEmbeddingstatement and proof · cited by 619
- HahnSeriesstatement and proof · cited by 528
- Set.mem_imageproof · cited by 131
- HahnSeries.orderTopstatement and proof · cited by 103
- HahnSeries.supportproof · cited by 84
- WithTop.mapstatement and proof · cited by 68
Cited by1
Results whose statement or proof uses this declaration.
- hahnEmbedding_isOrderedAddMonoidproof · cited by 0