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Theorems · Theorem · logic and foundations

Set.encard_smul_set

∀ {G : Type u_1} {α : Type u_3} [inst : Group G] [inst_1 : MulAction G α] (a : G) (s : Set α), (a • s).encard = s.encard
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Card
Cited by
1 results in Mathlib
Foundations
Depth 90 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.ncard_smul_set · cited by 3Set.ncard_smul_setDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemGroup · cited by 6238GroupENat · cited by 4985ENatMulAction · cited by 1294MulActionCardinal.mk · cited by 942Cardinal.mkSet.smulSet · cited by 608Set.smulSetSet.encard · cited by 327Set.encardCardinal.toENat · cited by 92Cardinal.toENatCardinal.mk_smul_set · cited by 1Cardinal.mk_smul_setSet.encard_smul_setCITED BYCITES

Cites11

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Cited by1

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