Theorems · Theorem · commutative algebra
HahnSeries.coeff_inj
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] {x y : HahnSeries Γ R},
x.coeff = y.coeff ↔ x = y- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.coeffstatement · cited by 235
- HahnSeries.coeff_injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- HahnModule.extproof · cited by 7