Theorems · Definition · commutative algebra
LaurentSeries.hasseDeriv
(R : Type u_2) →
{V : Type u_3} →
[inst : AddCommGroup V] → [inst_1 : Semiring R] → [inst_2 : Module R V] → ℕ → LaurentSeries V →ₗ[R] LaurentSeries VThe Hasse derivative of Laurent series, as a linear map.
- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupSemiringModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- HahnSeries.coeffproof · cited by 235
- LaurentSeriesstatement and proof · cited by 64
- Ring.chooseproof · cited by 43
- HahnSeries.ofSuppBddBelowproof · cited by 7
Cited by10
Results whose statement or proof uses this declaration.
- LaurentSeries.derivativeproof · cited by 3
- LaurentSeries.derivative_applystatement · cited by 1
- LaurentSeries.derivative_iteratestatement and proof · cited by 1
- LaurentSeries.hasseDeriv_coeffstatement · cited by 1
- LaurentSeries.hasseDeriv_compstatement · cited by 1
- LaurentSeries.hasseDeriv_comp_coeffstatement and proof · cited by 1
- LaurentSeries.hasseDeriv_single_addstatement · cited by 1
- LaurentSeries.hasseDeriv_zerostatement · cited by 1
- LaurentSeries.derivative_iterate_coeffproof · cited by 0
- LaurentSeries.hasseDeriv_singlestatement and proof · cited by 0