Theorems · Theorem · ring theory
MonoidAlgebra.liftMagma_symm_apply
∀ (R : Type u_1) {A : Type u_4} {M : Type u_7} [inst : Semiring R] [inst_1 : Mul M]
[inst_2 : NonUnitalNonAssocSemiring A] [inst_3 : Module R A] [inst_4 : IsScalarTower R A A]
[inst_5 : SMulCommClass R A A] (F : MonoidAlgebra R M →ₙₐ[R] A),
(MonoidAlgebra.liftMagma R).symm F = F.toMulHom.comp (MonoidAlgebra.ofMagma R M)- Defined in
- Mathlib.Algebra.MonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 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 and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- Equivstatement · cited by 8,337
- IsScalarTowerstatement and proof · cited by 3,896
- Equiv.symmstatement and proof · cited by 3,681
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- MonoidAlgebrastatement and proof · cited by 590
- MonoidHom.idstatement and proof · cited by 323
- MulHomstatement · cited by 299
- NonUnitalAlgHomstatement and proof · cited by 148
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