Theorems · Theorem · commutative algebra
LaurentSeries.hasseDeriv_zero
∀ {R : Type u_1} [inst : Semiring R] {V : Type u_2} [inst_1 : AddCommGroup V] [inst_2 : Module R V],
LaurentSeries.hasseDeriv R 0 = LinearMap.id- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommGroupModule
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.
- 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
- add_zeroproof · cited by 2,707
- one_smulproof · cited by 1,374
- pow_zeroproof · cited by 1,094
- LinearMap.extproof · cited by 844
- LinearMap.idstatement · cited by 625
- CharP.cast_eq_zeroproof · cited by 357
- HahnSeries.coeffproof · cited by 235
Cited by1
Results whose statement or proof uses this declaration.
- LaurentSeries.derivative_iterateproof · cited by 1