Theorems · Theorem · commutative algebra
HahnSeries.ofPowerSeries_C
∀ {Γ : Type u_1} {R : Type u_2} [inst : Semiring R] [inst_1 : Semiring Γ] [inst_2 : PartialOrder Γ]
[inst_3 : IsStrictOrderedRing Γ] (r : R), (HahnSeries.ofPowerSeries Γ R) (PowerSeries.C r) = HahnSeries.C r- Cited by
- 3 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- PowerSeriesstatement · cited by 797
- RingEquiv.symmproof · cited by 567
- HahnSeriesstatement and proof · cited by 528
- CharP.cast_eq_zeroproof · cited by 357
- HahnSeries.coeffproof · cited by 235
- HahnSeries.supportproof · cited by 84
- PowerSeries.Cstatement and proof · cited by 76
Cited by3
Results whose statement or proof uses this declaration.
- PowerSeries.coe_Cproof · cited by 0
- LaurentSeries.algebraMap_C_mem_adicCompletionIntegersproof · cited by 0
- LaurentSeries.algebraMap_applyproof · cited by 0