Theorems · Theorem · field theory

isTranscendenceBasis_image

∀ {R : Type u_3} {A : Type u_5} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] {ι : Type u_7}
  {s : Set ι} {f : ι → A}, Set.InjOn f s → ((IsTranscendenceBasis R fun x => f ↑x) ↔ IsTranscendenceBasis R fun x => ↑x)

Defined in

Mathlib.RingTheory.AlgebraicIndependent.Defs

Cited by

0 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra