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Theorems · Theorem · group theory

Sylow.coe_subtype

∀ {p : ℕ} {G : Type u_1} [inst : Group G] (P : Sylow p G) {N : Subgroup G} (h : ↑P ≤ N),
  ↑(P.subtype h) = (↑P).subgroupOf N
Defined in
Mathlib.GroupTheory.Sylow
Cited by
4 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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

Sylow.normalizer_sup_eq_top' · cited by 2Sylow.normalizer_sup_eq_t…Sylow.normalizer_le_centralizer_or_le_commutator · cited by 1Sylow.normalizer_le_centr…Sylow.normalizer_normalizer · cited by 1Sylow.normalizer_normaliz…isZGroup_of_coprime · cited by 1isZGroup_of_coprimeGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.subgroupOf · cited by 122Subgroup.subgroupOfSylow · cited by 103SylowSylow.toSubgroup · cited by 86Sylow.toSubgroupSylow.subtype · cited by 10Sylow.subtypeSylow.coe_subtypeCITED BYCITES

Cites6

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Cited by4

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