Theorems · Theorem · group theory
Subrepresentation.mem_ofSubmodule_iff
∀ {A : Type u_1} {G : Type u_2} {M : Type u_4} [inst : CommSemiring A] [inst_1 : Monoid G] [inst_2 : AddCommMonoid M]
[inst_3 : Module (MonoidAlgebra A G) M] {N : Submodule (MonoidAlgebra A G) M} {m : M},
m ∈ Subrepresentation.ofSubmodule N ↔ m ∈ N- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- Monoidstatement and proof · cited by 3,887
- MonoidAlgebrastatement and proof · cited by 590
- Subrepresentationstatement · cited by 23
- RestrictScalarsstatement · cited by 18
- Representation.ofModulestatement · cited by 11
- Subrepresentation.ofSubmodulestatement · cited by 2
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