Theorems · Theorem · ring theory
MonoidAlgebra.lift_symm_apply
∀ {R : Type u_1} {A : Type u_4} {M : Type u_7} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : Monoid M] (F : MonoidAlgebra R M →ₐ[R] A) (m : M),
((MonoidAlgebra.lift R A M).symm F) m = F (MonoidAlgebra.single m 1)- Defined in
- Mathlib.Algebra.MonoidAlgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- Equiv.symmstatement · cited by 3,681
- MonoidHomstatement · cited by 3,629
- AlgHomstatement and proof · cited by 3,236
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.singlestatement · cited by 253
- MonoidAlgebra.liftstatement · cited by 13
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