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Theorems · Definition · commutative algebra

Submodule.toAddSubmonoid

{R : Type u} →
  {M : Type v} →
    [inst : Semiring R] → [inst_1 : AddCommMonoid M] → [inst_2 : Module R M] → Submodule R M → AddSubmonoid M

Reinterpret a Submodule as an AddSubmonoid.

Defined in
Mathlib.Algebra.Module.Submodule.Defs
Cited by
162 results in Mathlib
Foundations
Depth 6 from the axioms, rests on 30 definitions · uses no axioms
Assumes
SemiringAddCommMonoidModule

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