Theorems · Definition · linear algebra

Module.Basis.map

{ι : Type u_1} →
  {R : Type u_3} →
    {M : Type u_6} →
      {M' : Type u_7} →
        [inst : Semiring R] →
          [inst_1 : AddCommMonoid M] →
            [inst_2 : Module R M] →
              [inst_3 : AddCommMonoid M'] →
                [inst_4 : Module R M'] → Module.Basis ι R M → (M ≃ₗ[R] M') → Module.Basis ι R M'

Apply the linear equivalence f to the basis vectors.

Defined in

Mathlib.LinearAlgebra.Basis.Defs

Cited by

70 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModule