Theorems · Theorem · ring theory
AddMonoidAlgebra.uniqueLinearEquiv_apply
∀ (R : Type u_1) {S : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : Module R S]
[inst_3 : Zero M] [inst_4 : Subsingleton M] (x : AddMonoidAlgebra S M),
(AddMonoidAlgebra.uniqueLinearEquiv R M) x = x.coeff 0- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- AddMonoidAlgebrastatement and proof · cited by 649
- AddMonoidAlgebra.coeffstatement · cited by 365
- AddMonoidAlgebra.uniqueLinearEquivstatement · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.