Theorems · Theorem · commutative algebra
HahnSeries.ofPowerSeries_X
∀ {Γ : Type u_1} {R : Type u_2} [inst : Semiring R] [inst_1 : Semiring Γ] [inst_2 : PartialOrder Γ]
[inst_3 : IsStrictOrderedRing Γ], (HahnSeries.ofPowerSeries Γ R) PowerSeries.X = (HahnSeries.single 1) 1- Cited by
- 5 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.
Cites26
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
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- PowerSeriesstatement · cited by 797
- RingEquiv.symmproof · cited by 567
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.coeffproof · cited by 235
- PowerSeries.Xstatement and proof · cited by 183
- ZeroHomstatement · cited by 161
Cited by5
Results whose statement or proof uses this declaration.
- HahnSeries.ofPowerSeries_X_powproof · cited by 3
- PowerSeries.coe_Xproof · cited by 2
- RatFunc.coe_Xproof · cited by 2
- LaurentSeries.X_order_mul_powerSeriesPartproof · cited by 1
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1