Theorems · Theorem · commutative algebra
HahnSeries.map_sub
∀ {Γ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : PartialOrder Γ] [inst_1 : AddGroup R] [inst_2 : AddGroup S]
(f : R →+ S) {x y : HahnSeries Γ R}, (x - y).map f = x.map f - y.map f- Defined in
- Mathlib.RingTheory.HahnSeries.Addition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddGroupAddGroup
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement and proof · cited by 3,230
- map_subproof · cited by 565
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.coeffproof · cited by 235
- HahnSeries.extproof · cited by 53
- HahnSeries.mapstatement · cited by 13
- HahnSeries.map_coeffproof · cited by 8
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