Theorems · Theorem · commutative algebra
HahnSeries.map_C
∀ {Γ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ]
[inst_2 : IsOrderedCancelAddMonoid Γ] [inst_3 : NonAssocSemiring R] [inst_4 : NonAssocSemiring S] (a : R)
(f : R →+* S), (HahnSeries.C a).map f = HahnSeries.C (f a)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- AddCommMonoidstatement and proof · cited by 12,281
- RingHomstatement and proof · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- map_zeroproof · cited by 1,614
- NonAssocSemiringstatement and proof · cited by 805
- HahnSeriesstatement · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnSeries.coeffproof · cited by 235
- HahnSeries.singleproof · cited by 82
- HahnSeries.extproof · cited by 53
- HahnSeries.Cstatement and proof · cited by 15
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