Theorems · Theorem · ring theory
IsSymmetricAlgebra.equiv_apply
∀ {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] {f : M →ₗ[R] A} (h : IsSymmetricAlgebra f)
(a : SymmetricAlgebra R M), h.equiv a = (SymmetricAlgebra.lift f) a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · 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
- LinearMapstatement and proof · cited by 10,215
- Equivstatement · cited by 8,337
- AlgHomstatement · cited by 3,236
- AlgEquivstatement · cited by 1,681
- TensorAlgebrastatement · cited by 81
- SymmetricAlgebrastatement and proof · cited by 28
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