Theorems · Theorem · linear algebra

Module.Basis.equiv_trans

∀ {ι' : Type u_2} {M' : Type u_7} [inst : AddCommMonoid M'] {ι : Type u_10} {R : Type u_11} {M : Type u_12}
  [inst_1 : Semiring R] [inst_2 : AddCommMonoid M] [inst_3 : Module R M] (b : Module.Basis ι R M) [inst_4 : Module R M']
  {M'' : Type u_13} (b' : Module.Basis ι' R M') [inst_5 : AddCommMonoid M''] [inst_6 : Module R M''] {ι'' : Type u_14}
  (b'' : Module.Basis ι'' R M'') (e : ι ≃ ι') (e' : ι' ≃ ι''),
  b.equiv b' e ≪≫ₗ b'.equiv b'' e' = b.equiv b'' (e.trans e')

Defined in

Mathlib.LinearAlgebra.Basis.Defs

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidSemiringAddCommMonoidModuleModuleAddCommMonoidModule