Theorems · Definition · field theory
RatFunc.laurent
{R : Type u} → [inst : CommRing R] → R → [inst_1 : IsDomain R] → RatFunc R →ₐ[R] RatFunc RThe Laurent expansion of rational functions about a value.
- Defined in
- Mathlib.FieldTheory.Laurent
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- AlgHomstatement · cited by 3,236
- IsDomainstatement and proof · cited by 2,196
- RatFuncstatement · cited by 301
- Polynomial.taylorproof · cited by 42
- AlgHom.ofLinearMapproof · cited by 11
- RatFunc.taylor_mem_nonZeroDivisorsproof · cited by 2
- RatFunc.mapAlgHomproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- RatFunc.laurent_algebraMapstatement · cited by 3
- RatFunc.laurent_at_zerostatement and proof · cited by 1
- RatFunc.laurent_divstatement · cited by 1
- RatFunc.laurent_laurentstatement and proof · cited by 1
- RatFunc.laurent_Cstatement and proof · cited by 0
- RatFunc.laurent_Xstatement and proof · cited by 0
- RatFunc.laurent_injectivestatement and proof · cited by 0