Theorems · Theorem · commutative algebra
HahnSeries.algebraMap_apply
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : CommSemiring R] {A : Type u_6} [inst_4 : Semiring A] [inst_5 : Algebra R A] {r : R},
(algebraMap R (HahnSeries Γ A)) r = HahnSeries.C ((algebraMap R A) r)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- Algebra.algebraMapstatement · cited by 4,706
- HahnSeriesstatement · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnSeries.Cstatement · cited by 15
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