Theorems · Theorem · commutative algebra

Module.Free.of_equiv

∀ {R : Type u_2} {R' : Type u_3} {M : Type u_4} {M' : Type u_5} [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : Module R M] [inst_3 : Semiring R'] [inst_4 : AddCommMonoid M'] [inst_5 : Module R' M'] {σ : R →+* R'}
  {σ' : R' →+* R} [inst_6 : RingHomInvPair σ σ'] [inst_7 : RingHomInvPair σ' σ] (e₂ : M ≃ₛₗ[σ] M') [Module.Free R M],
  Module.Free R' M'

Defined in

Mathlib.LinearAlgebra.FreeModule.Basic

Cited by

23 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleSemiringAddCommMonoidModuleRingHomInvPairRingHomInvPairModule.Free