Theorems · Theorem · linear algebra

LinearIndepOn.comp_of_image

∀ {ι : Type u'} {ι' : Type u_1} {R : Type u_2} {M : Type u_4} {v : ι → M} [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : Module R M] {s : Set ι'} {f : ι' → ι},
  LinearIndepOn R v (f '' s) → Set.InjOn f s → LinearIndepOn R (v ∘ f) s

Defined in

Mathlib.LinearAlgebra.LinearIndependent.Basic

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule