Theorems · Theorem · commutative algebra
HahnSeries.support_map_subset
∀ {Γ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : Zero S]
(x : HahnSeries Γ R) (f : ZeroHom R S), (x.map f).support ⊆ x.support- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- PartialOrderZeroZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.coeffproof · cited by 235
- ZeroHomstatement and proof · cited by 161
- HahnSeries.supportstatement · cited by 84
- HahnSeries.mapstatement · cited by 13
- Function.support_comp_subsetproof · cited by 8
- ZeroHomClass.map_zeroproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- HahnSeries.support_neg_subsetproof · cited by 1
- HahnSeries.cardSupp_map_leproof · cited by 0