Theorems · Theorem · commutative algebra
HahnSeries.ofPowerSeries_X_pow
∀ {Γ : Type u_1} [inst : Semiring Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsStrictOrderedRing Γ] {R : Type u_3}
[inst_3 : Semiring R] (n : ℕ), (HahnSeries.ofPowerSeries Γ R) (PowerSeries.X ^ n) = (HahnSeries.single ↑n) 1- Cited by
- 3 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.
Cites17
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
- mul_oneproof · cited by 3,885
- IsStrictOrderedRingstatement and proof · cited by 2,490
- PowerSeriesstatement · cited by 797
- HahnSeriesstatement · cited by 528
- one_powproof · cited by 521
- map_powproof · cited by 503
- nsmul_eq_mulproof · cited by 369
- PowerSeries.Xstatement and proof · cited by 183
Cited by3
Results whose statement or proof uses this declaration.
- LaurentSeries.valuation_single_zpowproof · cited by 3
- LaurentSeries.coeff_zero_of_lt_valuationproof · cited by 2
- LaurentSeries.exists_ratFunc_val_ltproof · cited by 1