Theorems · Theorem · ring theory
AddMonoidAlgebra.grade_eq_lsingle_range
∀ {M : Type u_1} (R : Type u_3) [inst : CommSemiring R] (m : M),
AddMonoidAlgebra.grade R m = (AddMonoidAlgebra.lsingle m).range- Defined in
- Mathlib.Algebra.MonoidAlgebra.Grading
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement · cited by 7,192
- LinearMap.rangestatement · cited by 893
- AddMonoidAlgebrastatement · cited by 649
- Submodule.extproof · cited by 204
- AddMonoidAlgebra.lsinglestatement · cited by 14
- AddMonoidAlgebra.gradestatement · cited by 7
- AddMonoidAlgebra.mem_grade_iff'proof · cited by 1
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