Theorems · Theorem · ring theory
AddMonoidAlgebra.ofCoeff_update
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] (m : M) (r : R) (x : M →₀ R),
AddMonoidAlgebra.ofCoeff (x.update m r) = AddMonoidAlgebra.update m r (AddMonoidAlgebra.ofCoeff x)- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 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.
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
- Finsuppstatement and proof · cited by 5,255
- AddMonoidAlgebrastatement · cited by 649
- Finsupp.updatestatement · cited by 52
- AddMonoidAlgebra.updatestatement · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.