Theorems · Theorem · ring theory
MonoidAlgebra.supportedEquivFinsupp_apply_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]
(s : Set M) (x : ↥(MonoidAlgebra.supported R S s)) (a : { x // x ∈ s }),
((MonoidAlgebra.supportedEquivFinsupp s) x) a = (↑x).coeff ↑a- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 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 and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- Submodulestatement · cited by 7,192
- Set.Elemstatement · cited by 7,166
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.coeffstatement · cited by 224
- MonoidAlgebra.supportedstatement and proof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.