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Theorems · Theorem · group theory

Sylow.coe_coe

∀ {p : ℕ} {G : Type u_1} [inst : Group G] (P : Sylow p G), ↑↑P = ↑P
Defined in
Mathlib.GroupTheory.Sylow
Cited by
5 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, 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.not_dvd_index' · cited by 1Sylow.not_dvd_index'Sylow.normal_of_normalizer_normal · cited by 1Sylow.normal_of_normalize…Sylow.normalizer_le_centralizer_or_le_commutator · cited by 1Sylow.normalizer_le_centr…Sylow.normalizer_normalizer · cited by 1Sylow.normalizer_normaliz…Set · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSylow · cited by 103SylowSylow.toSubgroup · cited by 86Sylow.toSubgroupSylow.coe_coeCITED BYCITES

Cites6

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Cited by5

Results whose statement or proof uses this declaration.