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Theorems · Theorem · group theory

Set.smul_set_sdiff

∀ {α : Type u_2} {β : Type u_3} [inst : Group α] [inst_1 : MulAction α β] {s t : Set β} {a : α},
  a • (s \ t) = a • s \ a • t
Defined in
Mathlib.Algebra.Group.Action.Pointwise.Set.Basic
Cited by
5 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupMulAction
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Around this declaration

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

Set.smul_set_compl · cited by 4Set.smul_set_complMeasureTheory.Measure.IsEverywherePos.IsGdelta_of_isMulLeftInvariant · cited by 1IsEverywherePos.IsGdelta_…MeasureTheory.measure_sdiff_inv_smul · cited by 1MeasureTheory.measure_sdi…MulAction.stabilizer_inf_stabilizer_le_stabilizer_sdiff · cited by 1MulAction.stabilizer_inf_…MeasureTheory.fundamentalInterior_smul · cited by 0MeasureTheory.fundamental…Set · cited by 53352SetGroup · cited by 6238GroupMulAction · cited by 1294MulActionSet.smulSet · cited by 608Set.smulSetSet.image_sdiff · cited by 24Set.image_sdiffMulAction.injective · cited by 24MulAction.injectiveSet.smul_set_sdiffCITED BYCITES

Cites6

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Cited by5

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