Theorems · Definition · ring theory
MonoidAlgebra.coeffEquiv
{R : Type u_1} → {M : Type u_4} → [inst : Semiring R] → MonoidAlgebra R M ≃ (M →₀ R)MonoidAlgebra.coeff as an equiv.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Equivstatement · cited by 8,337
- Finsuppstatement · cited by 5,255
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.coeffproof · cited by 224
Cited by14
Results whose statement or proof uses this declaration.
- MonoidAlgebra.coeffLinearEquivproof · cited by 34
- MonoidAlgebra.coeffAddEquivproof · cited by 11
- MonoidAlgebra.cardinalMk_eq_lift_of_fintypeproof · cited by 3
- MonoidAlgebra.cardinalMk_eq_max_lift_of_infiniteproof · cited by 3
- MonoidAlgebra.coeffEquiv_applystatement and proof · cited by 3
- MonoidAlgebra.coeff_injectiveproof · cited by 2
- MonoidAlgebra.cardinalMk_eq_max_lift_of_infinite'proof · cited by 2
- MonoidAlgebra.ofCoeff_injectiveproof · cited by 2
- MonoidAlgebra.coeffEquiv_symm_applystatement and proof · cited by 2
- MonoidAlgebra.forallproof · cited by 0
- MonoidAlgebra.range_mapproof · cited by 0
- MonoidAlgebra.map_injectiveproof · cited by 0