Mathlib Map

Theorems · Definition · field theory

AlgebraicIndepOn

{ι : Type u_1} →
  (R : Type u_3) → {A : Type u_5} → (ι → A) → [inst : CommRing R] → [inst_1 : CommRing A] → [Algebra R A] → Set ι → Prop

AlgebraicIndepOn R v s states that the elements in the family v that are indexed by the elements of s are algebraically independent over R.

Defined in
Mathlib.RingTheory.AlgebraicIndependent.Defs
Cited by
27 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebra

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by30

Results whose statement or proof uses this declaration.