Theorems · Theorem · field theory

AlgebraicIndependent.image_of_comp

∀ {R : Type u_2} {A : Type v} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] {ι : Type u_3}
  {ι' : Type u_4} (s : Set ι) (f : ι → ι') (g : ι' → A),
  (AlgebraicIndependent R fun x => g (f ↑x)) → AlgebraicIndependent R fun x => g ↑x

Defined in

Mathlib.RingTheory.AlgebraicIndependent.Basic

Cited by

1 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra