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Theorems · Theorem · group theory

SubAddAction.mem_closure

∀ {R : Type u_1} {M : Type u_2} [inst : VAdd R M] {s : Set M} {x : M},
  x ∈ SubAddAction.closure R s ↔ ∀ (p : SubAddAction R M), s ⊆ ↑p → x ∈ p
Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction.Closure
Cited by
3 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
Assumes
VAdd
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Around this declaration

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

SubAddAction.subset_closure · cited by 4SubAddAction.subset_closu…SubAddAction.closure_le · cited by 2SubAddAction.closure_leAddSemigroupIdeal.mem_closure · cited by 0AddSemigroupIdeal.mem_clo…Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeVAdd · cited by 616VAddSubAddAction · cited by 86SubAddActionSet.mem_iInter₂ · cited by 54Set.mem_iInter₂SubAddAction.closure · cited by 6SubAddAction.closureSubAddAction.mem_closureCITED BYCITES

Cites6

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Cited by3

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