Theorems · Theorem · field theory
RatFunc.laurentAux_ofFractionRing_mk
∀ {R : Type u} [inst : CommRing R] (r : R) (p : Polynomial R) (q : ↥(nonZeroDivisors (Polynomial R))),
(RatFunc.laurentAux r) { toFractionRing := Localization.mk p q } =
{ toFractionRing := Localization.mk ((Polynomial.taylor r) p) ⟨(Polynomial.taylor r) ↑q, ⋯⟩ }- Defined in
- Mathlib.FieldTheory.Laurent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites15
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- 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
- Submonoidstatement · cited by 3,086
- nonZeroDivisorsstatement and proof · cited by 895
- Subtype.propstatement · cited by 505
- RatFuncstatement · cited by 301
- Localization.mkstatement · cited by 110
- Polynomial.taylorstatement and proof · cited by 42
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