Theorems · Definition · order theory
HahnSeries.embDomainOrderAddMonoidHom
{Γ : Type u_1} →
{R : Type u_2} →
[inst : LinearOrder Γ] →
[inst_1 : PartialOrder R] →
{Γ' : Type u_3} →
[inst_2 : LinearOrder Γ'] → Γ ↪o Γ' → [inst_3 : AddMonoid R] → Lex (HahnSeries Γ R) →+o Lex (HahnSeries Γ' R)HahnSeries.embDomain as an OrderAddMonoidHom.
- Defined in
- Mathlib.RingTheory.HahnSeries.Lex
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- PartialOrderstatement and proof · cited by 6,410
- AddMonoidstatement and proof · cited by 2,864
- OrderHomproof · cited by 934
- OrderEmbeddingstatement and proof · cited by 619
- HahnSeriesstatement and proof · cited by 528
- Lexstatement and proof · cited by 370
- OrderAddMonoidHomstatement · cited by 80
- OrderHom.toFunproof · cited by 45
- OrderEmbedding.toOrderHomproof · cited by 16
- HahnSeries.embDomainOrderEmbeddingproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.embDomainOrderAddMonoidHom_applystatement and proof · cited by 1
- HahnSeries.embDomainOrderAddMonoidHom_injectivestatement · cited by 1
- hahnEmbedding_isOrderedAddMonoidproof · cited by 0