Theorems · Theorem · commutative algebra
HahnSeries.C_injective
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : NonAssocSemiring R], Function.Injective ⇑HahnSeries.C- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- NonAssocSemiringstatement and proof · cited by 805
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnSeries.coeffproof · cited by 235
- HahnSeries.Cstatement and proof · cited by 15
- HahnSeries.coeff_single_sameproof · cited by 14
- HahnSeries.C_applyproof · cited by 6
- HahnSeries.ext_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.C_ne_zeroproof · cited by 0