Theorems · Theorem · ring theory
LinearEquiv.symm_conjAlgEquiv
∀ {R : Type u_1} {S : Type u_2} {M₁ : Type u_3} {M₂ : Type u_4} [inst : CommSemiring R] [inst_1 : AddCommMonoid M₁]
[inst_2 : Module R M₁] [inst_3 : AddCommMonoid M₂] [inst_4 : Module R M₂] [inst_5 : Semiring S] [inst_6 : Module S M₁]
[inst_7 : Module S M₂] [inst_8 : SMulCommClass S R M₁] [inst_9 : SMulCommClass S R M₂] [inst_10 : SMul R S]
[inst_11 : IsScalarTower R S M₁] [inst_12 : IsScalarTower R S M₂] (e : M₁ ≃ₗ[S] M₂),
(LinearEquiv.conjAlgEquiv R e).symm = LinearEquiv.conjAlgEquiv R e.symm- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- LinearEquivstatement and proof · cited by 3,317
- SMulCommClassstatement and proof · cited by 1,927
- AlgEquivstatement · cited by 1,681
- LinearEquiv.symmstatement · cited by 1,461
- Module.Endstatement · cited by 774
- AlgEquiv.symmstatement · cited by 615
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