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Theorems · Theorem · group theory

alternatingGroup.coe_ofSubtype

∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] (s : Finset α) (k : ↥(alternatingGroup ↥s)),
  ↑((alternatingGroup.ofSubtype s) k) = Equiv.Perm.ofSubtype ↑k
Defined in
Mathlib.GroupTheory.SpecificGroups.Alternating
Cited by
1 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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alternatingGroup.mem_map_kleinFour_ofSubtype · cited by 1alternatingGroup.mem_map_…DFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetFintype · cited by 7736FintypeMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupEquiv.Perm · cited by 1375Equiv.PermalternatingGroup · cited by 96alternatingGroupEquiv.Perm.ofSubtype · cited by 41Perm.ofSubtypealternatingGroup.ofSubtype · cited by 9alternatingGroup.ofSubtypealternatingGroup.coe_ofSubtypeCITED BYCITES

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