Theorems · Theorem · commutative algebra

FractionRing.algebraMap_liftAlgebra

∀ (R : Type u_1) [inst : CommRing R] (K : Type u_5) [inst_1 : Field K] [inst_2 : Algebra R K]
  [inst_3 : FaithfulSMul R K],
  have this := ⋯;
  algebraMap (FractionRing R) K = IsFractionRing.lift ⋯

Defined in: Mathlib.RingTheory.Localization.FractionRing
Cited by: 0 results in Mathlib
Foundations: Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Field Algebra FaithfulSMul

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CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
RingHomstatement · cited by 10,189
Fieldstatement and proof · cited by 7,404
Algebra.algebraMapstatement · cited by 4,706
IsDomainstatement · cited by 2,196
nonZeroDivisorsstatement · cited by 895
FaithfulSMulstatement and proof · cited by 340
FractionRingstatement · cited by 200
FaithfulSMul.algebraMap_injectivestatement · cited by 198
FractionRing.liftAlgebrastatement · cited by 43
IsFractionRing.liftstatement · cited by 12

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