Theorems · Theorem · field theory

RatFunc.laurentAux_algebraMap

∀ {R : Type u} [inst : CommRing R] (r : R) (p : Polynomial R) [inst_1 : IsDomain R],
  (RatFunc.laurentAux r) ((algebraMap (Polynomial R) (RatFunc R)) p) =
    (algebraMap (Polynomial R) (RatFunc R)) ((Polynomial.taylor r) p)

Defined in: Mathlib.FieldTheory.Laurent
Cited by: 1 results in Mathlib
Foundations: Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDomain

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Cites18

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
RingHom.idstatement · cited by 18,349
CommRingstatement and proof · cited by 17,173
LinearMapstatement · cited by 10,215
RingHomstatement · cited by 10,189
Polynomialstatement and proof · cited by 5,681
Algebra.algebraMapstatement and proof · cited by 4,706
IsDomainstatement and proof · cited by 2,196
Polynomial.Cproof · cited by 1,598
map_oneproof · cited by 861
RatFuncstatement and proof · cited by 301
Polynomial.taylorstatement and proof · cited by 42

Cited by1

Results whose statement or proof uses this declaration.

RatFunc.laurent_algebraMapproof · cited by 3