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Theorems · Theorem · group theory

SubMulAction.stabilizer_of_subMul.submonoid

∀ {R : Type u} {M : Type v} [inst : Monoid R] [inst_1 : MulAction R M] {p : SubMulAction R M} (m : ↥p),
  MulAction.stabilizerSubmonoid R m = MulAction.stabilizerSubmonoid R ↑m

Stabilizers in monoid SubMulAction coincide with stabilizers in the ambient space

Defined in
Mathlib.GroupTheory.GroupAction.SubMulAction
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
MonoidMulAction
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Around this declaration

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SubMulAction.stabilizer_of_subMul · cited by 0SubMulAction.stabilizer_o…Monoid · cited by 3887MonoidSubmonoid · cited by 3086SubmonoidMulAction · cited by 1294MulActionSubMulAction · cited by 120SubMulActionSubmonoid.ext · cited by 48Submonoid.extMulAction.stabilizerSubmonoid · cited by 4MulAction.stabilizerSubmo…stabilizer_of_subMul.submonoidCITED BYCITES

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Cited by1

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