Theorems · Theorem · commutative algebra
PowerSeries.coe_X
∀ {R : Type u_1} [inst : Semiring R], (HahnSeries.ofPowerSeries ℤ R) PowerSeries.X = (HahnSeries.single 1) 1- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- PowerSeriesstatement · cited by 797
- HahnSeriesstatement · cited by 528
- PowerSeries.Xstatement · cited by 183
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement · cited by 82
- HahnSeries.ofPowerSeriesstatement · cited by 45
- HahnSeries.ofPowerSeries_Xproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1
- LaurentSeries.coe_X_compareproof · cited by 0