Theorems · Theorem · ring theory
IsSymmetricAlgebra.comp_equiv
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {A : Type u_3}
[inst_3 : CommSemiring A] [inst_4 : Algebra R A] (e : SymmetricAlgebra R M ≃ₐ[R] A),
IsSymmetricAlgebra (e.toLinearMap ∘ₗ SymmetricAlgebra.ι R M)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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 · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgEquivstatement and proof · cited by 1,681
- LinearMap.compstatement · cited by 1,642
- TensorAlgebrastatement · cited by 81
- AlgEquiv.toLinearMapstatement · cited by 34
- SymmetricAlgebrastatement and proof · cited by 28
- TensorAlgebra.symRingConstatement · cited by 27
- SymmetricAlgebra.ιstatement · cited by 16
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