Theorems · Theorem · commutative algebra
HahnSeries.single_eq_zero_iff
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] {a : Γ} {r : R},
(HahnSeries.single a) r = 0 ↔ r = 0- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderZero
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement · cited by 528
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement and proof · cited by 82
- map_eq_zero_iffproof · cited by 62
- HahnSeries.single_injectiveproof · cited by 2
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