Theorems · Theorem · ring theory
AddMonoidAlgebra.supported_eq_map
∀ (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),
AddMonoidAlgebra.supported R S s =
Submodule.map (↑(AddMonoidAlgebra.coeffLinearEquiv R).symm) (Finsupp.supported S R s)- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 1 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- Finsuppstatement · cited by 5,255
- LinearEquiv.symmstatement · cited by 1,461
- LinearEquiv.toLinearMapstatement · cited by 1,171
- AddMonoidAlgebrastatement · cited by 649
- Submodule.mapstatement · cited by 614
- Finsupp.supportedstatement and proof · cited by 77
- AddMonoidAlgebra.coeffLinearEquivstatement and proof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.supported_eq_span_singleproof · cited by 5