Theorems · Definition · commutative algebra

LinearEquiv.toEquiv

{R : Type u_1} →
  {S : Type u_6} →
    {M : Type u_7} →
      {M₂ : Type u_9} →
        [inst : Semiring R] →
          [inst_1 : Semiring S] →
            [inst_2 : AddCommMonoid M] →
              [inst_3 : AddCommMonoid M₂] →
                {modM : Module R M} →
                  {modM₂ : Module S M₂} →
                    {σ : R →+* S} →
                      {σ' : S →+* R} →
                        [inst_4 : RingHomInvPair σ σ'] → [inst_5 : RingHomInvPair σ' σ] → (M ≃ₛₗ[σ] M₂) → M ≃ M₂

The equivalence of types underlying a linear equivalence.

Defined in

Mathlib.Algebra.Module.Equiv.Defs

Cited by

105 results in Mathlib

Foundations

Depth 16 from the axioms, rests on 106 definitions · uses no axioms

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidRingHomInvPairRingHomInvPair