Theorems · Theorem · ring theory
AddMonoidAlgebra.single_mem_grade
∀ {M : Type u_1} {R : Type u_4} [inst : CommSemiring R] (i : M) (r : R),
AddMonoidAlgebra.single i r ∈ AddMonoidAlgebra.grade R i- Defined in
- Mathlib.Algebra.MonoidAlgebra.Grading
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement · cited by 7,192
- AddMonoidAlgebrastatement · cited by 649
- AddMonoidAlgebra.singlestatement · cited by 250
- AddMonoidAlgebra.gradestatement · cited by 7
- AddMonoidAlgebra.single_mem_gradeByproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.grade.decompose_singlestatement · cited by 0