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Theorems · Theorem · group theory

AddSubgroupClass.zsmulMemClass

∀ {S : Type u_1} {M : Type u_2} [inst : SubNegMonoid M] [inst_1 : SetLike S M] [AddSubgroupClass S M],
  SMulMemClass S ℤ M

Not registered as an instance because R is an outParam in SMulMemClass S R M.

Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
Assumes
SubNegMonoidSetLikeAddSubgroupClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NonUnitalSubring.unitization_range · cited by 0NonUnitalSubring.unitizat…SetLike · cited by 1084SetLikeAddSubgroupClass · cited by 240AddSubgroupClassSubNegMonoid · cited by 79SubNegMonoidSMulMemClass · cited by 77SMulMemClasszsmul_mem · cited by 14zsmul_memAddSubgroupClass.zsmulMemClassCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.