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Theorems · Theorem · group theory

SubAddAction.closure_mono

∀ {R : Type u_1} {M : Type u_2} [inst : VAdd R M] {s t : Set M},
  s ⊆ t → SubAddAction.closure R s ≤ SubAddAction.closure R t
Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction.Closure
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
VAdd
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Around this declaration

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

AddSemigroupIdeal.closure_mono · cited by 0AddSemigroupIdeal.closure…Set · cited by 53352SetLE.le.trans · cited by 3151le.transVAdd · cited by 616VAddSubAddAction · cited by 86SubAddActionSubAddAction.closure · cited by 6SubAddAction.closureSubAddAction.subset_closure · cited by 4SubAddAction.subset_closu…SubAddAction.closure_le · cited by 2SubAddAction.closure_leSubAddAction.closure_monoCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.