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Theorems · Theorem · group theory

SubAddAction.fg_iff

∀ {R : Type u_1} {M : Type u_2} [inst : VAdd R M] {p : SubAddAction R M}, p.FG ↔ ∃ s, p = SubAddAction.closure R ↑s
Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction.Closure
Cited by
1 results in Mathlib
Foundations
Depth 69 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.fg_iff · cited by 0AddSemigroupIdeal.fg_iffFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeVAdd · cited by 616VAddSubAddAction · cited by 86SubAddActionSet.exists_finite_iff_finset · cited by 9Set.exists_finite_iff_fin…SubAddAction.closure · cited by 6SubAddAction.closureSubAddAction.FG · cited by 1SubAddAction.FGSubAddAction.fg_iffCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.