Theorems · Theorem · group theory
alternatingGroup.ofSubtype_inj
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {s : Finset α} {g h : ↥(alternatingGroup ↥s)},
(alternatingGroup.ofSubtype s) g = (alternatingGroup.ofSubtype s) h ↔ g = h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement and proof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- alternatingGroupstatement and proof · cited by 96
- alternatingGroup.ofSubtypestatement · cited by 9
- alternatingGroup.ofSubtype_injectiveproof · cited by 1
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