Theorems · Definition · ring theory
MonoidAlgebra.coeffAddEquiv
{R : Type u_1} → {M : Type u_4} → [inst : Semiring R] → MonoidAlgebra R M ≃+ (M →₀ R)MonoidAlgebra.coeff as an AddEquiv.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finsuppstatement · cited by 5,255
- AddEquivstatement · cited by 1,087
- MonoidAlgebrastatement · cited by 590
- MonoidAlgebra.coeffEquivproof · cited by 12
- Equiv.addEquivproof · cited by 3
Cited by16
Results whose statement or proof uses this declaration.
- MonoidAlgebra.uniqueLinearEquivproof · cited by 11
- MonoidAlgebra.uniqueRingEquivproof · cited by 7
- MonoidAlgebra.coeff_finsuppSumproof · cited by 7
- MonoidAlgebra.liftNCproof · cited by 6
- MonoidAlgebra.addMonoidHom_extproof · cited by 4
- MonoidAlgebra.coeffAddEquiv_symm_applystatement and proof · cited by 4
- MonoidAlgebra.coeff_sumproof · cited by 3
- MonoidAlgebra.coeffAddEquiv_applystatement and proof · cited by 3
- MonoidAlgebra.uniqueRingEquiv_symm_applyproof · cited by 2
- MonoidAlgebra.curryAddEquivproof · cited by 2
- MonoidAlgebra.liftMagmaproof · cited by 2
- MonoidAlgebra.curryAddEquiv_singleproof · cited by 1