Theorems · Definition · ring theory
MonoidAlgebra.supportedEquivFinsupp
{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) → ↥(MonoidAlgebra.supported R S s) ≃ₗ[R] ↑s →₀ SInterpret Finsupp.restrictSupportEquiv as a linear equivalence between
supported M R s and s →₀ M.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 84 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
- Set.Elemstatement · cited by 7,166
- Finsuppstatement and proof · cited by 5,255
- LinearEquivstatement · cited by 3,317
- MonoidAlgebrastatement and proof · cited by 590
- LinearEquiv.transproof · cited by 298
- MonoidAlgebra.coeffproof · cited by 224
- Finsupp.supportedproof · cited by 77
Cited by4
Results whose statement or proof uses this declaration.
- MonoidAlgebra.coeff_supportedEquivFinsupp_symm_apply_coe_applystatement and proof · cited by 0
- MonoidAlgebra.coeff_supportedEquivFinsupp_symm_apply_coe_support_valstatement · cited by 0
- MonoidAlgebra.supportedEquivFinsupp_apply_applystatement and proof · cited by 0
- MonoidAlgebra.supportedEquivFinsupp_apply_support_valstatement and proof · cited by 0