Theorems · Theorem · ring theory
AddMonoidAlgebra.lift_of
∀ {R : Type u_1} {A : Type u_4} {M : Type u_7} [inst : CommSemiring R] [inst_1 : AddMonoid M] [inst_2 : Semiring A]
[inst_3 : Algebra R A] (F : Multiplicative M →* A) (x : Multiplicative M),
((AddMonoidAlgebra.lift R A M) F) ((AddMonoidAlgebra.of R M) x) = F x- Defined in
- Mathlib.Algebra.MonoidAlgebra.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, 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.
- 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
- MonoidHomstatement and proof · cited by 3,629
- AlgHomstatement · cited by 3,236
- AddMonoidstatement and proof · cited by 2,864
- Multiplicativestatement and proof · cited by 875
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.ofstatement · cited by 19
- AddMonoidAlgebra.liftstatement · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.lift_of'proof · cited by 0